Recognised as Number
1,159
- Positive
- Odd
- Composite
- 4 digits
1,159 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 7.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,159
Digit count4
Digit sum16
Digit product45
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation19 × 61
Distinct prime factors219, 61
Number of divisors4
Sum of divisors σ(n)1,240
Aliquot sum81sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,080integers below n that share no factor with it
Carmichael function λ(n)180the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,080
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 19, 61, 1,1594 in total
Arithmetic
Representations
Decimal1,159
Binary1001000011111 bits
Octal2207
Hexadecimal487
Base 36W7
Roman numeralMCLIX
In wordsone thousand, one hundred and fifty-nine
Ordinalone thousand, one hundred and fifty-ninth
Scientific notation1.159 × 10^3
Engineering notation1.159 × 10^3
In other bases
Ternary1120221base 3; the most digit-efficient integer base after e: 7 digits
Quinary14114base 5; one hand: 5 digits
Septenary3244base 7: 4 digits
Nonary1527base 9; each digit is two ternary digits: 4 digits
Duodecimal807base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2hjbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal19:19base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT10T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110011011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010010000111
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; 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 87
Gray code11011000100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010010000111
32-bit00000000000000000000010010000111
64-bit0000000000000000000000000000000000000000000000000000010010000111
One's complement1111101101111000at 16 bits, every bit flipped
Bits reversed1110000100100000at 16 bits
Rotated left by 10000100100001110at 16 bits, wrapping
Shifted left by 1100100001110= 2,318, no wrap
Shifted right by 11001000011= 579, discarding the low bit
These bits as a double5.72622084 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,159 to the power 21,343,281
1,159 to the power 31,556,862,679
1,159 to the power 41,804,403,844,961
1,159 to the power 52,091,304,056,309,799
First ten multiples1,159, 2,318, 3,477, 4,636, 5,795, 6,954, 8,113, 9,272, 10,431, 11,590
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7No, remainder 4
Divisible by 8No, remainder 7
Divisible by 9No, remainder 7
Divisible by 10No, remainder 9
Divisible by 11No, remainder 4
Divisible by 12No, remainder 7
Divisible by 100No, remainder 59
Collatz (3n + 1) trajectory
Steps to reach 157the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,159 → 3,478 → 1,739 → 5,218 → 2,609 → 7,828 → 3,914 → 1,957 → 5,872 → 2,936 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage115,900%
1,159% as a decimal11.59
1,159% of 1001,159
1,159% of 1,00011,590
As a fraction of 1001,159/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 1,159
Also reads as
1159 (year)
- Common year
- 365 days
- 12th century
- Rabbit
- 53 ISO weeks
1159 was a common year of 365 days. It began on a Thursday and ended on a Thursday. Easter Sunday fell on 12 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th3 of them13 February, 13 March, 13 November
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as1153the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1170, 1181, 118711 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1159
January31 days, starts Thursday
February28 days, starts Sunday
August31 days, starts Saturday
September30 days, starts Tuesday
October31 days, starts Thursday
November30 days, starts Sunday
December31 days, starts Tuesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-25,592,716,800
Unix timestamp at the end-25,561,180,801
Years from now867 years ago
Days from today316,926 days since 1 January
The number 1159
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Also reads as
#111155 (colour)
- #111155
- Blue
- Dark
- Nearest: Midnight blue
#111155 is a blue with RGB values 17, 17, 85 and HSL 240°, 67%, 20%. It is a dark colour, so white text on it reaches 17:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#111155#111155
HEX#111155
HEX (short)#115
RGBrgb(17, 17, 85)
RGB (0–1)0.0667, 0.0667, 0.3333
RGB percentages6.7%, 6.7%, 33.3%
HSLhsl(240, 66.7%, 20%)
HSV / HSBhsv(240, 80%, 33.3%)
CMYK80%, 80%, 0%, 66.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,549
CSS custom property--colour: #111155;
Brightness & contrast
Relative luminance0.01176WCAG 2.x, 0 is black and 1 is white
Perceived brightness32.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17:1
Contrast with white17:1WCAG normal text: AAA
Contrast with black1.24:1WCAG normal text: Fail
Greyscale equivalent#161616
Inverted#EEEEAA
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text17:1WCAG large text: AAA
Contrast with black, large text1.24:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#555511
Analogous#113355, #331155
Triadic#551111, #115511
Split complementary#553311, #335511
Tetradic#551133, #555511, #115533
Tints, shades & saturation
Channel breakdown
R17
G17
B85
Red17 (6.7%)
Green17 (6.7%)
Blue85 (33.3%)
Hue240°
Saturation (HSL)66.67%
Lightness20%
Dominant channelBlue
Hex per channelR 11 · G 11 · B 55
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page