Recognised as Number
801,072
- Positive
- Even
- Composite
- 6 digits
801,072 is an even 6-digit integer and a composite number. It has 30 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value801,072
Digit count6
Digit sum18
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 3^2 × 5,563
Distinct prime factors32, 3, 5,563
Number of divisors30
Sum of divisors σ(n)2,242,292
Aliquot sum1,441,220sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)266,976integers below n that share no factor with it
Carmichael function λ(n)11,124the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 266,976
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 5,563, 11,126, 16,689, 22,252, 33,378, 44,504, 50,067, 66,756, 89,008, 100,134, 133,512, 200,268, 267,024, 400,536, 801,07230 in total
Arithmetic
Representations
Decimal801,072
Binary1100001110010011000020 bits
Octal3034460
HexadecimalC3930
Base 36H640
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight hundred and one thousand and seventy-two
Ordinaleight hundred and one thousand and seventy-second
Scientific notation8.01072 × 10^5
Engineering notation801.072 × 10^3
In other bases
Ternary1111200212100base 3; the most digit-efficient integer base after e: 13 digits
Quinary201113242base 5; one hand: 9 digits
Septenary6544326base 7: 7 digits
Nonary1450770base 9; each digit is two ternary digits: 7 digits
Duodecimal327700base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal502dcbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:42:31:12base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1TTTTT010TT100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111000100100101110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000011000011100100110000
Bit length20 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits12within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes30c 39 30
Gray code10100010010110101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000011000011100100110000
64-bit0000000000000000000000000000000000000000000011000011100100110000
One's complement11111111111100111100011011001111at 32 bits, every bit flipped
Bits reversed00001100100111000011000000000000at 32 bits
Rotated left by 100000000000110000111001001100000at 32 bits, wrapping
Shifted left by 1110000111001001100000= 1,602,144, no wrap
Shifted right by 11100001110010011000= 400,536, discarding the low bit
These bits as a double3.95782155 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
801,072 to the power 2641,716,349,184
801,072 to the power 3514,060,999,273,525,248
801,072 to the power 4411,799,872,810,041,417,465,856
801,072 to the power 5329,881,347,711,685,498,372,208,197,632
First ten multiples801,072, 1,602,144, 2,403,216, 3,204,288, 4,005,360, 4,806,432, 5,607,504, 6,408,576, 7,209,648, 8,010,720
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10No, remainder 2
Divisible by 11No, remainder 8
Divisible by 12Yes
Divisible by 100No, remainder 72
Collatz (3n + 1) trajectory
Steps to reach 169the total stopping time
Highest value reached801,072
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps801,072 → 400,536 → 200,268 → 100,134 → 50,067 → 150,202 → 75,101 → 225,304 → 112,652 → 56,326 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage80,107,200%
801,072% as a decimal8,010.72
801,072% of 100801,072
801,072% of 1,0008,010,720
As a fraction of 100801,072/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 801,072
Also reads as
#801072 (colour)
- #801072
- Magenta
- Dark
- Nearest: Purple
#801072 is a magenta with RGB values 128, 16, 114 and HSL 308°, 78%, 28%. It is a dark colour, so white text on it reaches 9.4:1 contrast (AAA for normal text). The nearest named colour is Purple.
Colour values
#801072#801072
HEX#801072
RGBrgb(128, 16, 114)
RGB (0–1)0.502, 0.0627, 0.4471
RGB percentages50.2%, 6.3%, 44.7%
HSLhsl(307.5, 77.8%, 28.2%)
HSV / HSBhsv(307.5, 87.5%, 50.2%)
CMYK0%, 87.5%, 10.9%, 49.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,392,818
CSS custom property--colour: #801072;
Brightness & contrast
Relative luminance0.06175WCAG 2.x, 0 is black and 1 is white
Perceived brightness80.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.4:1
Contrast with white9.4:1WCAG normal text: AAA
Contrast with black2.23:1WCAG normal text: Fail
Greyscale equivalent#2F2F2F
Inverted#7FEF8D
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.4:1WCAG large text: AAA
Contrast with black, large text2.23:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#10801E
Analogous#561080, #80103A
Triadic#728010, #107280
Split complementary#3A8010, #108056
Tetradic#805610, #10801E, #103A80
Tints, shades & saturation
Channel breakdown
R128
G16
B114
Red128 (50.2%)
Green16 (6.3%)
Blue114 (44.7%)
Hue307.5°
Saturation (HSL)77.78%
Lightness28.24%
Dominant channelRed
Hex per channelR 80 · G 10 · B 72
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