Recognised as Number
400,401
- Positive
- Odd
- Composite
- 6 digits
400,401 is an odd 6-digit integer and a composite number. It has 12 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value400,401
Digit count6
Digit sum9
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 factorisation3^2 × 17 × 2,617
Distinct prime factors33, 17, 2,617
Number of divisors12
Sum of divisors σ(n)612,612
Aliquot sum212,211sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)251,136integers below n that share no factor with it
Carmichael function λ(n)5,232the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 251,136
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 17, 51, 153, 2,617, 7,851, 23,553, 44,489, 133,467, 400,40112 in total
Arithmetic
Representations
Decimal400,401
Binary110000111000001000119 bits
Octal1416021
Hexadecimal61C11
Base 368KY9
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand, four hundred and one
Ordinalfour hundred thousand, four hundred and first
Scientific notation4.00401 × 10^5
Engineering notation400.401 × 10^3
In other bases
Ternary202100020200base 3; the most digit-efficient integer base after e: 12 digits
Quinary100303101base 5; one hand: 9 digits
Septenary3255231base 7: 7 digits
Nonary670220base 9; each digit is two ternary digits: 6 digits
Duodecimal173869base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a101base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:13:21base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T1001T1T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110110000010001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001110000010001
Bit length19 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits12within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 18worth 262,144
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes306 1c 11
Gray code1010001001000011001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001110000010001
64-bit0000000000000000000000000000000000000000000001100001110000010001
One's complement11111111111110011110001111101110at 32 bits, every bit flipped
Bits reversed10001000001110000110000000000000at 32 bits
Rotated left by 100000000000011000011100000100010at 32 bits, wrapping
Shifted left by 111000011100000100010= 800,802, no wrap
Shifted right by 1110000111000001000= 200,200, discarding the low bit
These bits as a double1.97824379 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
400,401 to the power 2160,320,960,801
400,401 to the power 364,192,673,025,681,201
400,401 to the power 425,702,810,472,155,778,561,601
400,401 to the power 510,291,431,015,861,645,891,843,602,001
First ten multiples400,401, 800,802, 1,201,203, 1,601,604, 2,002,005, 2,402,406, 2,802,807, 3,203,208, 3,603,609, 4,004,010
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
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 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 1
Divisible by 12No, remainder 9
Divisible by 100No, remainder 1
Collatz (3n + 1) trajectory
Steps to reach 1117the total stopping time
Highest value reached1,201,2043× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,401 → 1,201,204 → 600,602 → 300,301 → 900,904 → 450,452 → 225,226 → 112,613 → 337,840 → 168,920 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,040,100%
400,401% as a decimal4,004.01
400,401% of 100400,401
400,401% of 1,0004,004,010
As a fraction of 100400,401/100
Read another way
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Derived from 400,401
Also reads as
#400401 (colour)
- #400401
- Red
- Dark
- Nearest: Maroon
#400401 is a red with RGB values 64, 4, 1 and HSL 3°, 97%, 13%. It is a dark colour, so white text on it reaches 17:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#400401#400401
HEX#400401
RGBrgb(64, 4, 1)
RGB (0–1)0.251, 0.0157, 0.0039
RGB percentages25.1%, 1.6%, 0.4%
HSLhsl(2.9, 96.9%, 12.7%)
HSV / HSBhsv(2.9, 98.4%, 25.1%)
CMYK0%, 93.8%, 98.4%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,195,329
CSS custom property--colour: #400401;
Brightness & contrast
Relative luminance0.01179WCAG 2.x, 0 is black and 1 is white
Perceived brightness35.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.99:1
Contrast with white16.99:1WCAG normal text: AAA
Contrast with black1.24:1WCAG normal text: Fail
Greyscale equivalent#111111
Inverted#BFFBFE
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.99:1WCAG large text: AAA
Contrast with black, large text1.24:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#013D40
Analogous#40011E, #402301
Triadic#014004, #040140
Split complementary#014024, #011D40
Tetradic#1D4001, #013D40, #240140
Tints, shades & saturation
Channel breakdown
R64
G4
B1
Red64 (25.1%)
Green4 (1.6%)
Blue1 (0.4%)
Hue2.86°
Saturation (HSL)96.92%
Lightness12.75%
Dominant channelRed
Hex per channelR 40 · G 04 · B 01
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