Recognised as Number

137,073

Positive
Odd
Composite
6 digits

137,073 is an odd 6-digit integer and a composite number. It has 4 divisors and a digital root of 3.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value137,073

Digit count6

Digit sum21

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times 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 numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 45,691

Distinct prime factors23, 45,691

Number of divisors4

Sum of divisors σ(n)182,768

Aliquot sum45,695sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)91,380integers below n that share no factor with it

Carmichael function λ(n)45,690the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 91,380

Möbius function μ(n)+12 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 3, 45,691, 137,0734 in total

Arithmetic

Previous number137,072

Next number137,074

Double274,146

Half68,536.5

Square18,789,007,329

Cube2,575,465,601,608,017

Square root370.233709972≈irrational, shown to 9 decimal places

Cube root51.560522055≈

Negation-137,073

Reciprocal0.0000072954≈

Representations

Decimal137,073

Binary10000101110111000118 bits

Octal413561

Hexadecimal21771

Base 362XRL

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

In wordsone hundred and thirty-seven thousand and seventy-three

Ordinalone hundred and thirty-seven thousand and seventy-third

Scientific notation1.37073 × 10^5

Engineering notation137.073 × 10^3

In other bases

Ternary20222000210base 3; the most digit-efficient integer base after e: 11 digits

Quinary13341243base 5; one hand: 8 digits

Septenary1110426base 7: 7 digits

Nonary228023base 9; each digit is two ternary digits: 6 digits

Duodecimal673a9base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits

Vigesimalh2ddbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits

Sexagesimal38:4:33base 60; Babylonian, and still how an hour and a circle are divided: 3 digits

Balanced ternary1T100T001T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1100110100010110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000000100001011101110001

Bit length18 bitsto write the magnitude

Set bits9the population count, or Hamming weight

Zero bits9within that length

Bit parityodd9 set bits, so odd; 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 17 71

Gray code110001110011001001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000000100001011101110001

64-bit0000000000000000000000000000000000000000000000100001011101110001

One's complement11111111111111011110100010001110at 32 bits, every bit flipped

Bits reversed10001110111010000100000000000000at 32 bits

Rotated left by 100000000000001000010111011100010at 32 bits, wrapping

Shifted left by 11000010111011100010= 274,146, no wrap

Shifted right by 110000101110111000= 68,536, discarding the low bit

These bits as a double6.77230603 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime137,077+4

Previous prime137,029−44

Distance to nearest prime4

Nearest square below136,900

Nearest square above137,641

Powers & multiples

137,073 to the power 218,789,007,329

137,073 to the power 32,575,465,601,608,017

137,073 to the power 4353,026,796,409,215,714,241

137,073 to the power 548,390,442,064,200,425,598,156,593

First ten multiples137,073, 274,146, 411,219, 548,292, 685,365, 822,438, 959,511, 1,096,584, 1,233,657, 1,370,730

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 3

Divisible by 6No, remainder 3

Divisible by 7No, remainder 6

Divisible by 8No, remainder 1

Divisible by 9No, remainder 3

Divisible by 10No, remainder 3

Divisible by 11No, remainder 2

Divisible by 12No, remainder 9

Divisible by 100No, remainder 73

Collatz (3n + 1) trajectory

Steps to reach 1131the total stopping time

Highest value reached411,2203× the starting value

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

First steps137,073 → 411,220 → 205,610 → 102,805 → 308,416 → 154,208 → 77,104 → 38,552 → 19,276 → 9,638 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage13,707,300%

137,073% as a decimal1,370.73

137,073% of 100137,073

137,073% of 1,0001,370,730

As a fraction of 100137,073/100

Read another way

As seconds1 day, 14 hours and 4 minutes

As bytes133.86 KiB

As a 24-bit colour#021771

Keep nerding

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

Neighbouring numbers

Derived from 137,073

Nearby primes

#137073 (colour)

#137073
Cyan
Dark
Nearest: Teal

#137073 is a cyan with RGB values 19, 112, 115 and HSL 182°, 72%, 26%. It is a dark colour, so white text on it reaches 5.8:1 contrast (AA for normal text). The nearest named colour is Teal.

Open this reading on its own page →

Colour values

#137073#137073

HEX#137073

RGBrgb(19, 112, 115)

RGB (0–1)0.0745, 0.4392, 0.451

RGB percentages7.5%, 43.9%, 45.1%

HSLhsl(181.9, 71.6%, 26.3%)

HSV / HSBhsv(181.9, 83.5%, 45.1%)

CMYK83.5%, 2.6%, 0%, 54.9%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,273,971

CSS custom property--colour: #137073;

Brightness & contrast

Relative luminance0.12965WCAG 2.x, 0 is black and 1 is white

Perceived brightness94.8 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 5.84:1

Contrast with white5.84:1WCAG normal text: AA

Contrast with black3.59:1WCAG normal text: Fail

Greyscale equivalent#5C5C5C

Inverted#EC8F8C

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#676A73no red cones; affects about 1% of men; ΔE 25 from the original

Deuteranopia#5A6173no green cones; the most common form, about 1% of men; ΔE 25.5 from the original

Tritanopia#007471no blue cones; rare, and affects men and women equally; ΔE 5 from the original

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

Contrast with white, large text5.84:1WCAG large text: AAA

Contrast with black, large text3.59:1WCAG large text: AA

Named colours

Teal · ΔE 7.5 Dark cyan · ΔE 11.7 Dark slate grey · ΔE 17.5 Cadetblue · ΔE 19 Slate grey · ΔE 24 Light slate grey · ΔE 25.4

Nearest named CSS colourTeal (#008080)ΔE 7.49, clearly different but related

Hue familycyan

CSS keyword usableNo exact keyword

Colour harmonies

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

Complementary#731613

Analogous#137346, #134073

Triadic#731370, #707313

Split complementary#731340, #734613

Tetradic#461373, #731613, #407313

Tints, shades & saturation

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

Lighter +40%#6BE3E7

Lighter +30%#40DADF

Lighter +20%#21C5CB

Lighter +10%#1A9B9F

Darker −10%#0C4547

Darker −20%#051B1B

Darker −30%#000000

Darker −40%#000000

More saturated +25%#028084

Less saturated −25%#246062

Channel breakdown

R19

G112

B115

Red19 (7.5%)

Green112 (43.9%)

Blue115 (45.1%)

Hue181.88°

Saturation (HSL)71.64%

Lightness26.27%

Dominant channelBlue

Hex per channelR 13 · G 70 · B 73

Keep nerding

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

137,073

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 137,073

Nearby primes

Other readings

#137073 (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