Recognised as Number
401,008
- Positive
- Even
- Composite
- 6 digits
401,008 is an even 6-digit integer and a composite number. It has 20 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value401,008
Digit count6
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times 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 factorisation2^4 × 71 × 353
Distinct prime factors32, 71, 353
Number of divisors20
Sum of divisors σ(n)790,128
Aliquot sum389,120sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)197,120integers below n that share no factor with it
Carmichael function λ(n)12,320the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 197,120
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 71, 142, 284, 353, 568, 706, 1,136, 1,412, 2,824, 5,648, 25,063, 50,126, 100,252, 200,504, 401,00820 in total
Arithmetic
Representations
Decimal401,008
Binary110000111100111000019 bits
Octal1417160
Hexadecimal61E70
Base 368LF4
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and one thousand and eight
Ordinalfour hundred and one thousand and eighth
Scientific notation4.01008 × 10^5
Engineering notation401.008 × 10^3
In other bases
Ternary202101002011base 3; the most digit-efficient integer base after e: 12 digits
Quinary100313013base 5; one hand: 9 digits
Septenary3260056base 7: 7 digits
Nonary671064base 9; each digit is two ternary digits: 6 digits
Duodecimal174094base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a2a8base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:23:28base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T10101T011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110001110110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001111001110000
Bit length19 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits10within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes306 1e 70
Gray code1010001000101001000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001111001110000
64-bit0000000000000000000000000000000000000000000001100001111001110000
One's complement11111111111110011110000110001111at 32 bits, every bit flipped
Bits reversed00001110011110000110000000000000at 32 bits
Rotated left by 100000000000011000011110011100000at 32 bits, wrapping
Shifted left by 111000011110011100000= 802,016, no wrap
Shifted right by 1110000111100111000= 200,504, discarding the low bit
These bits as a double1.98124277 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
401,008 to the power 2160,807,416,064
401,008 to the power 364,485,060,300,992,512
401,008 to the power 425,859,025,061,180,405,252,096
401,008 to the power 510,369,675,921,733,831,949,332,512,768
First ten multiples401,008, 802,016, 1,203,024, 1,604,032, 2,005,040, 2,406,048, 2,807,056, 3,208,064, 3,609,072, 4,010,080
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10No, remainder 8
Divisible by 11No, remainder 3
Divisible by 12No, remainder 4
Divisible by 100No, remainder 8
Collatz (3n + 1) trajectory
Steps to reach 1143the total stopping time
Highest value reached1,465,1083× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps401,008 → 200,504 → 100,252 → 50,126 → 25,063 → 75,190 → 37,595 → 112,786 → 56,393 → 169,180 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,100,800%
401,008% as a decimal4,010.08
401,008% of 100401,008
401,008% of 1,0004,010,080
As a fraction of 100401,008/100
Read another way
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Derived from 401,008
Also reads as
#401008 (colour)
- #401008
- Red
- Dark
- Nearest: Black
#401008 is a red with RGB values 64, 16, 8 and HSL 9°, 78%, 14%. It is a dark colour, so white text on it reaches 16.2:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#401008#401008
HEX#401008
RGBrgb(64, 16, 8)
RGB (0–1)0.251, 0.0627, 0.0314
RGB percentages25.1%, 6.3%, 3.1%
HSLhsl(8.6, 77.8%, 14.1%)
HSV / HSBhsv(8.6, 87.5%, 25.1%)
CMYK0%, 75%, 87.5%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,198,408
CSS custom property--colour: #401008;
Brightness & contrast
Relative luminance0.01478WCAG 2.x, 0 is black and 1 is white
Perceived brightness37.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.21:1
Contrast with white16.21:1WCAG normal text: AAA
Contrast with black1.3:1WCAG normal text: Fail
Greyscale equivalent#1A1A1A
Inverted#BFEFF7
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text16.21:1WCAG large text: AAA
Contrast with black, large text1.3:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#083840
Analogous#40081C, #402C08
Triadic#084010, #100840
Split complementary#08402C, #081C40
Tetradic#1C4008, #083840, #2C0840
Tints, shades & saturation
Channel breakdown
R64
G16
B8
Red64 (25.1%)
Green16 (6.3%)
Blue8 (3.1%)
Hue8.57°
Saturation (HSL)77.78%
Lightness14.12%
Dominant channelRed
Hex per channelR 40 · G 10 · B 08
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