Recognised as Number

137,361

Positive
Odd
Composite
6 digits

137,361 is an odd 6-digit integer and a composite number. It has 16 divisors and a digital root of 3.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value137,361

Digit count6

Digit sum21

Digit product378

Multiplicative persistence5times the digit product can be taken before one digit is left

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 7 × 31 × 211

Distinct prime factors43, 7, 31, 211

Number of divisors16

Sum of divisors σ(n)217,088

Aliquot sum79,727sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)75,600integers below n that share no factor with it

Carmichael function λ(n)210the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 75,600

Möbius function μ(n)+14 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 3, 7, 21, 31, 93, 211, 217, 633, 651, 1,477, 4,431, 6,541, 19,623, 45,787, 137,36116 in total

Arithmetic

Previous number137,360

Next number137,362

Double274,722

Half68,680.5

Square18,868,044,321

Cube2,591,733,435,976,881

Square root370.622449401≈irrational, shown to 9 decimal places

Cube root51.596607553≈

Negation-137,361

Reciprocal0.0000072801≈

Representations

Decimal137,361

Binary10000110001001000118 bits

Octal414221

Hexadecimal21891

Base 362XZL

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordsone hundred and thirty-seven thousand, three hundred and sixty-one

Ordinalone hundred and thirty-seven thousand, three hundred and sixty-first

Scientific notation1.37361 × 10^5

Engineering notation137.361 × 10^3

In other bases

Ternary20222102110base 3; the most digit-efficient integer base after e: 11 digits

Quinary13343421base 5; one hand: 8 digits

Septenary1111320base 7: 7 digits

Nonary228373base 9; each digit is two ternary digits: 6 digits

Duodecimal675a9base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimalh381base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal38:9:21base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary1T100T11T110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1100110100110010001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000000100001100010010001

Bit length18 bitsto write the magnitude

Set bits6the population count, or Hamming weight

Zero bits12within that length

Bit parityeven6 set bits, so even; not the same as the number itself being odd

Highest set bitbit 17worth 131,072

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes302 18 91

Gray code110001010011011001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000000100001100010010001

64-bit0000000000000000000000000000000000000000000000100001100010010001

One's complement11111111111111011110011101101110at 32 bits, every bit flipped

Bits reversed10001001000110000100000000000000at 32 bits

Rotated left by 100000000000001000011000100100010at 32 bits, wrapping

Shifted left by 11000011000100100010= 274,722, no wrap

Shifted right by 110000110001001000= 68,680, discarding the low bit

These bits as a double6.78653512 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime137,363+2

Previous prime137,359−2

Distance to nearest prime2

Nearest square below136,900

Nearest square above137,641

Powers & multiples

137,361 to the power 218,868,044,321

137,361 to the power 32,591,733,435,976,881

137,361 to the power 4356,003,096,499,220,351,041

137,361 to the power 548,900,941,338,229,406,639,342,801

First ten multiples137,361, 274,722, 412,083, 549,444, 686,805, 824,166, 961,527, 1,098,888, 1,236,249, 1,373,610

Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 1

Divisible by 5No, remainder 1

Divisible by 6No, remainder 3

Divisible by 7Yes

Divisible by 8No, remainder 1

Divisible by 9No, remainder 3

Divisible by 10No, remainder 1

Divisible by 11No, remainder 4

Divisible by 12No, remainder 9

Divisible by 100No, remainder 61

Collatz (3n + 1) trajectory

Steps to reach 1118the total stopping time

Highest value reached846,9166× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps137,361 → 412,084 → 206,042 → 103,021 → 309,064 → 154,532 → 77,266 → 38,633 → 115,900 → 57,950 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage13,736,100%

137,361% as a decimal1,373.61

137,361% of 100137,361

137,361% of 1,0001,373,610

As a fraction of 100137,361/100

Read another way

As seconds1 day, 14 hours and 9 minutes

As bytes134.142 KiB

As a 24-bit colour#021891

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Neighbouring numbers

Derived from 137,361

Nearby primes

#137361 (colour)

#137361
Cyan
Dark
Nearest: Teal

#137361 is a cyan with RGB values 19, 115, 97 and HSL 169°, 72%, 26%. It is a dark colour, so white text on it reaches 5.7:1 contrast (AA for normal text). The nearest named colour is Teal.

Open this reading on its own page →

Colour values

#137361#137361

HEX#137361

RGBrgb(19, 115, 97)

RGB (0–1)0.0745, 0.451, 0.3804

RGB percentages7.5%, 45.1%, 38%

HSLhsl(168.8, 71.6%, 26.3%)

HSV / HSBhsv(168.8, 83.5%, 45.1%)

CMYK83.5%, 0%, 15.7%, 54.9%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,274,721

CSS custom property--colour: #137361;

Brightness & contrast

Relative luminance0.13263WCAG 2.x, 0 is black and 1 is white

Perceived brightness94.6 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 5.75:1

Contrast with white5.75:1WCAG normal text: AA

Contrast with black3.65:1WCAG normal text: Fail

Greyscale equivalent#5D5D5D

Inverted#EC8C9E

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#6E6B60no red cones; affects about 1% of men; ΔE 30.3 from the original

Deuteranopia#626262no green cones; the most common form, about 1% of men; ΔE 31 from the original

Tritanopia#00756Eno blue cones; rare, and affects men and women equally; ΔE 6.8 from the original

Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning

Contrast with white, large text5.75:1WCAG large text: AAA

Contrast with black, large text3.65:1WCAG large text: AA

Named colours

Teal · ΔE 12.2 Dark cyan · ΔE 14.6 Sea green · ΔE 21.4 Cadetblue · ΔE 23.4 Dark slate grey · ΔE 23.4 Light seagreen · ΔE 25.2

Nearest named CSS colourTeal (#008080)ΔE 12.25, a distinctly different colour

Hue familycyan

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#731325

Analogous#137331, #135573

Triadic#611373, #736113

Split complementary#731355, #733113

Tetradic#311373, #731325, #557313

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#6BE7D0

Lighter +30%#40DFC1

Lighter +20%#21CBAB

Lighter +10%#1A9F86

Darker −10%#0C473C

Darker −20%#051B17

Darker −30%#000000

Darker −40%#000000

More saturated +25%#02846B

Less saturated −25%#246257

Channel breakdown

R19

G115

B97

Red19 (7.5%)

Green115 (45.1%)

Blue97 (38%)

Hue168.75°

Saturation (HSL)71.64%

Lightness26.27%

Dominant channelGreen

Hex per channelR 13 · G 73 · B 61

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137,361

Number properties

Factors & divisors

Arithmetic

Representations

In other bases

Bit-level

At each machine width

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 137,361

Nearby primes

Other readings

#137361 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

Nerdulate something else