Nerdulator> put something in

Recognised as Number

1,059

  • Positive
  • Odd
  • Composite
  • 4 digits

1,059 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 6.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,059
Digit count4
Digit sum15
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 353
Distinct prime factors23, 353
Number of divisors4
Sum of divisors σ(n)1,416
Aliquot sum357sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)704integers below n that share no factor with it
Carmichael function λ(n)352the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 704
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 353, 1,0594 in total

Arithmetic

Previous number1,058
Next number1,060
Double2,118
Half529.5
Square1,121,481
Cube1,187,648,379
Square root32.542280191≈irrational, shown to 9 decimal places
Cube root10.192920886≈
Negation-1,059
Reciprocal0.0009442871≈

Representations

Decimal1,059
Binary1000010001111 bits
Octal2043
Hexadecimal423
Base 36TF
Roman numeralMLIX
In wordsone thousand and fifty-nine
Ordinalone thousand and fifty-ninth
Scientific notation1.059 × 10^3
Engineering notation1.059 × 10^3

In other bases

Ternary1110020base 3; the most digit-efficient integer base after e: 7 digits
Quinary13214base 5; one hand: 5 digits
Septenary3042base 7: 4 digits
Nonary1406base 9; each digit is two ternary digits: 4 digits
Duodecimal743base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2cjbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal17:39base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary11101T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10001100111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010000100011
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes204 23
Gray code11000110010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010000100011
32-bit00000000000000000000010000100011
64-bit0000000000000000000000000000000000000000000000000000010000100011
One's complement1111101111011100at 16 bits, every bit flipped
Bits reversed1100010000100000at 16 bits
Rotated left by 10000100001000110at 16 bits, wrapping
Shifted left by 1100001000110= 2,118, no wrap
Shifted right by 11000010001= 529, discarding the low bit
These bits as a double5.23215519 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,061+2
Previous prime1,051−8
Distance to nearest prime2
Nearest square below1,024
Nearest square above1,089

Powers & multiples

1,059 to the power 21,121,481
1,059 to the power 31,187,648,379
1,059 to the power 41,257,719,633,361
1,059 to the power 51,331,925,091,729,299
First ten multiples1,059, 2,118, 3,177, 4,236, 5,295, 6,354, 7,413, 8,472, 9,531, 10,590
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7No, remainder 2
Divisible by 8No, remainder 3
Divisible by 9No, remainder 6
Divisible by 10No, remainder 9
Divisible by 11No, remainder 3
Divisible by 12No, remainder 3
Divisible by 100No, remainder 59

Collatz (3n + 1) trajectory

Steps to reach 131the total stopping time
Highest value reached4,7684× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,059 → 3,178 → 1,589 → 4,768 → 2,384 → 1,192 → 596 → 298 → 149 → 448 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage105,900%
1,059% as a decimal10.59
1,059% of 1001,059
1,059% of 1,00010,590
As a fraction of 1001,059/100

Read another way

As seconds17 minutes and 39 seconds
As bytes1.034 KiB
As a year1059 AD
As a 24-bit colour#000423

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring numbers

Nearby primes

Also reads as

1059 (year)

  • Common year
  • 365 days
  • 11th century
  • Pig

1059 was a common year of 365 days. It began on a Saturday and ended on a Saturday. Easter Sunday fell on 10 April.

Open this reading on its own page →

Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Days in February28
1 January fell on aSaturday
31 December fell on aSaturday
Century11th century
Decade1050s
Chinese zodiacPig
Easter Sunday10 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Saturday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays53one of the extras
Friday the 13th1 of them13 May
ISO weeks52an ordinary 52-week year
Same calendar as1053the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1070, 1081, 108711 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1059

January31 days, starts Saturday
February28 days, starts Tuesday
March31 days, starts Tuesday
April30 days, starts Friday
May31 days, starts Sunday
June30 days, starts Wednesday
July31 days, starts Friday
August31 days, starts Monday
September30 days, starts Thursday
October31 days, starts Saturday
November30 days, starts Tuesday
December31 days, starts Thursday

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-28,748,390,400
Unix timestamp at the end-28,716,854,401
Years from now967 years ago
Days from today353,448 days since 1 January

The number 1059

As a number1,059
In wordsone thousand and fifty-nine
Roman numeralsMLIX

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring years

Also reads as

#110055 (colour)

  • #110055
  • Blue
  • Dark
  • Nearest: Midnight blue

#110055 is a blue with RGB values 17, 0, 85 and HSL 252°, 100%, 17%. It is a dark colour, so white text on it reaches 18.2:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

Open this reading on its own page →

Colour values

#110055#110055
HEX#110055
HEX (short)#105
RGBrgb(17, 0, 85)
RGB (0–1)0.0667, 0, 0.3333
RGB percentages6.7%, 0%, 33.3%
HSLhsl(252, 100%, 16.7%)
HSV / HSBhsv(252, 100%, 33.3%)
CMYK80%, 100%, 0%, 66.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,197
CSS custom property--colour: #110055;

Brightness & contrast

Relative luminance0.00775WCAG 2.x, 0 is black and 1 is white
Perceived brightness30.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.18:1
Contrast with white18.18:1WCAG normal text: AAA
Contrast with black1.16:1WCAG normal text: Fail
Greyscale equivalent#0A0A0A
Inverted#EEFFAA

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#001957no red cones; affects about 1% of men; ΔE 18.3 from the original
Deuteranopia#001254no green cones; the most common form, about 1% of men; ΔE 13.6 from the original
Tritanopia#001E2Eno blue cones; rare, and affects men and women equally; ΔE 51.5 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.18:1WCAG large text: AAA
Contrast with black, large text1.16:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 10.3Indigo · ΔE 21.9Navy · ΔE 22.6Dark slateblue · ΔE 26.1Rebecca purple · ΔE 26.9Dark blue · ΔE 27.8
Nearest named CSS colourMidnight blue (#191970)ΔE 10.31, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#445500
Analogous#001955, #3C0055
Triadic#551100, #005511
Split complementary#553B00, #195500
Tetradic#550019, #445500, #00553C

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#4E22FF
Lighter +30%#3000EE
Lighter +20%#2500BB
Lighter +10%#1B0088
Darker −10%#070022
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#110055
Less saturated −25%#170B4A

Channel breakdown

R17
G0
B85
Red17 (6.7%)
Green0 (0%)
Blue85 (33.3%)
Hue252°
Saturation (HSL)100%
Lightness16.67%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 55

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Nerdulate something else

Nothing in mind? Surprise me · today’s page

Every value on this page was computed from “1059” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.