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Recognised as Number

1,358

  • Positive
  • Even
  • Composite
  • 4 digits

1,358 is an even 4-digit integer and a composite number. It has 8 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,358
Digit count4
Digit sum17
Digit product120
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 7 × 97
Distinct prime factors32, 7, 97
Number of divisors8
Sum of divisors σ(n)2,352
Aliquot sum994sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)576integers below n that share no factor with it
Carmichael function λ(n)96the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 576
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 7, 14, 97, 194, 679, 1,3588 in total

Arithmetic

Previous number1,357
Next number1,359
Double2,716
Half679
Square1,844,164
Cube2,504,374,712
Square root36.851051545≈irrational, shown to 9 decimal places
Cube root11.073882812≈
Negation-1,358
Reciprocal0.000736377≈

Representations

Decimal1,358
Binary1010100111011 bits
Octal2516
Hexadecimal54E
Base 3611Q
Roman numeralMCCCLVIII
In wordsone thousand, three hundred and fifty-eight
Ordinalone thousand, three hundred and fifty-eighth
Scientific notation1.358 × 10^3
Engineering notation1.358 × 10^3

In other bases

Ternary1212022base 3; the most digit-efficient integer base after e: 7 digits
Quinary20413base 5; one hand: 5 digits
Septenary3650base 7: 4 digits
Nonary1768base 9; each digit is two ternary digits: 4 digits
Duodecimal952base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal37ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:38base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0TT10Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10101010010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010101001110
Bit length11 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits5within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes205 4e
Gray code11111101001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010101001110
32-bit00000000000000000000010101001110
64-bit0000000000000000000000000000000000000000000000000000010101001110
One's complement1111101010110001at 16 bits, every bit flipped
Bits reversed0111001010100000at 16 bits
Rotated left by 10000101010011100at 16 bits, wrapping
Shifted left by 1101010011100= 2,716, no wrap
Shifted right by 11010100111= 679, discarding the low bit
These bits as a double6.70941147 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,361+3
Previous prime1,327−31
Distance to nearest prime3
Nearest square below1,296
Nearest square above1,369

Powers & multiples

1,358 to the power 21,844,164
1,358 to the power 32,504,374,712
1,358 to the power 43,400,940,858,896
1,358 to the power 54,618,477,686,380,768
First ten multiples1,358, 2,716, 4,074, 5,432, 6,790, 8,148, 9,506, 10,864, 12,222, 13,580
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7Yes
Divisible by 8No, remainder 6
Divisible by 9No, remainder 8
Divisible by 10No, remainder 8
Divisible by 11No, remainder 5
Divisible by 12No, remainder 2
Divisible by 100No, remainder 58

Collatz (3n + 1) trajectory

Steps to reach 165the total stopping time
Highest value reached5,8124× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,358 → 679 → 2,038 → 1,019 → 3,058 → 1,529 → 4,588 → 2,294 → 1,147 → 3,442 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage135,800%
1,358% as a decimal13.58
1,358% of 1001,358
1,358% of 1,00013,580
As a fraction of 1001,358/100

Read another way

As seconds22 minutes and 38 seconds
As bytes1.326 KiB
As a year1358 AD
As a 24-bit colour#00054E

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Neighbouring numbers

Nearby primes

Also reads as

1358 (year)

  • Common year
  • 365 days
  • 14th century
  • Dog

1358 was a common year of 365 days. It began on a Sunday and ended on a Sunday. Easter Sunday fell on 9 April.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Days in February28
1 January fell on aSunday
31 December fell on aSunday
Century14th century
Decade1350s
Chinese zodiacDog
Easter Sunday9 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Sunday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 January, 13 October
ISO weeks52an ordinary 52-week year
Same calendar as1347the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1369, 1375, 138611 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1358

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

Time references

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

Unix timestamp at the start-19,312,819,200
Unix timestamp at the end-19,281,283,201
Years from now668 years ago
Days from today244,244 days since 1 January

The number 1358

As a number1,358
In wordsone thousand, three hundred and fifty-eight
Roman numeralsMCCCLVIII

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Neighbouring years

Also reads as

#113355 (colour)

  • #113355
  • Blue
  • Dark
  • Nearest: Dark slate grey

#113355 is a blue with RGB values 17, 51, 85 and HSL 210°, 67%, 20%. It is a dark colour, so white text on it reaches 12.9:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#113355#113355
HEX#113355
HEX (short)#135
RGBrgb(17, 51, 85)
RGB (0–1)0.0667, 0.2, 0.3333
RGB percentages6.7%, 20%, 33.3%
HSLhsl(210, 66.7%, 20%)
HSV / HSBhsv(210, 80%, 33.3%)
CMYK80%, 40%, 0%, 66.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,253
CSS custom property--colour: #113355;

Brightness & contrast

Relative luminance0.03143WCAG 2.x, 0 is black and 1 is white
Perceived brightness49.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.89:1
Contrast with white12.89:1WCAG normal text: AAA
Contrast with black1.63:1WCAG normal text: Fail
Greyscale equivalent#2E2E2E
Inverted#EECCAA

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#233556no red cones; affects about 1% of men; ΔE 3.7 from the original
Deuteranopia#192F54no green cones; the most common form, about 1% of men; ΔE 4.1 from the original
Tritanopia#003B40no blue cones; rare, and affects men and women equally; ΔE 22.9 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12.89:1WCAG large text: AAA
Contrast with black, large text1.63:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 26.4Black · ΔE 31.8Dark slateblue · ΔE 32.3Steel blue · ΔE 33.3Dim grey · ΔE 33.9Slate grey · ΔE 35.1
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 26.39, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#553311
Analogous#115555, #111155
Triadic#551133, #335511
Split complementary#551111, #555511
Tetradic#551155, #553311, #115511

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#5599DD
Lighter +30%#2A80D5
Lighter +20%#2266AA
Lighter +10%#194D80
Darker −10%#091A2B
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#043362
Less saturated −25%#1E3348

Channel breakdown

R17
G51
B85
Red17 (6.7%)
Green51 (20%)
Blue85 (33.3%)
Hue210°
Saturation (HSL)66.67%
Lightness20%
Dominant channelBlue
Hex per channelR 11 · G 33 · B 55

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Every value on this page was computed from “1358” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.