Recognised as Number
137,362
- Positive
- Even
- Composite
- 6 digits
137,362 is an even 6-digit integer and a composite number. It has 8 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value137,362
Digit count6
Digit sum22
Digit product756
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 173 × 397
Distinct prime factors32, 173, 397
Number of divisors8
Sum of divisors σ(n)207,756
Aliquot sum70,394sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)68,112integers below n that share no factor with it
Carmichael function λ(n)17,028the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 68,112
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 173, 346, 397, 794, 68,681, 137,3628 in total
Arithmetic
Representations
Decimal137,362
Binary10000110001001001018 bits
Octal414222
Hexadecimal21892
Base 362XZM
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-seven thousand, three hundred and sixty-two
Ordinalone hundred and thirty-seven thousand, three hundred and sixty-second
Scientific notation1.37362 × 10^5
Engineering notation137.362 × 10^3
In other bases
Ternary20222102111base 3; the most digit-efficient integer base after e: 11 digits
Quinary13343422base 5; one hand: 8 digits
Septenary1111321base 7: 7 digits
Nonary228374base 9; each digit is two ternary digits: 6 digits
Duodecimal675aabase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalh382base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal38:9:22base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T100T11T111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100110100110010110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000100001100010010010
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 even
Highest set bitbit 17worth 131,072
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes302 18 92
Gray code110001010011011011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000100001100010010010
64-bit0000000000000000000000000000000000000000000000100001100010010010
One's complement11111111111111011110011101101101at 32 bits, every bit flipped
Bits reversed01001001000110000100000000000000at 32 bits
Rotated left by 100000000000001000011000100100100at 32 bits, wrapping
Shifted left by 11000011000100100100= 274,724, no wrap
Shifted right by 110000110001001001= 68,681, discarding the low bit
These bits as a double6.78658452 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
137,362 to the power 218,868,319,044
137,362 to the power 32,591,790,040,521,928
137,362 to the power 4356,013,463,546,173,073,936
137,362 to the power 548,902,721,379,629,425,781,996,832
First ten multiples137,362, 274,724, 412,086, 549,448, 686,810, 824,172, 961,534, 1,098,896, 1,236,258, 1,373,620
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 1
Divisible by 8No, remainder 2
Divisible by 9No, remainder 4
Divisible by 10No, remainder 2
Divisible by 11No, remainder 5
Divisible by 12No, remainder 10
Divisible by 100No, remainder 62
Collatz (3n + 1) trajectory
Steps to reach 1118the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps137,362 → 68,681 → 206,044 → 103,022 → 51,511 → 154,534 → 77,267 → 231,802 → 115,901 → 347,704 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage13,736,200%
137,362% as a decimal1,373.62
137,362% of 100137,362
137,362% of 1,0001,373,620
As a fraction of 100137,362/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 137,362
Also reads as
#137362 (colour)
- #137362
- Cyan
- Dark
- Nearest: Teal
#137362 is a cyan with RGB values 19, 115, 98 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.
Colour values
#137362#137362
HEX#137362
RGBrgb(19, 115, 98)
RGB (0–1)0.0745, 0.451, 0.3843
RGB percentages7.5%, 45.1%, 38.4%
HSLhsl(169.4, 71.6%, 26.3%)
HSV / HSBhsv(169.4, 83.5%, 45.1%)
CMYK83.5%, 0%, 14.8%, 54.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,274,722
CSS custom property--colour: #137362;
Brightness & contrast
Relative luminance0.13282WCAG 2.x, 0 is black and 1 is white
Perceived brightness94.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 5.74:1
Contrast with white5.74:1WCAG normal text: AA
Contrast with black3.66:1WCAG normal text: Fail
Greyscale equivalent#5D5D5D
Inverted#EC8C9D
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text5.74:1WCAG large text: AAA
Contrast with black, large text3.66:1WCAG large text: AA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#731324
Analogous#137332, #135473
Triadic#621373, #736213
Split complementary#731354, #733213
Tetradic#321373, #731324, #547313
Tints, shades & saturation
Channel breakdown
R19
G115
B98
Red19 (7.5%)
Green115 (45.1%)
Blue98 (38.4%)
Hue169.38°
Saturation (HSL)71.64%
Lightness26.27%
Dominant channelGreen
Hex per channelR 13 · G 73 · B 62
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