Recognised as Number
401,420
- Positive
- Even
- Composite
- 6 digits
401,420 is an even 6-digit integer and a composite number. It has 12 divisors and a digital root of 2.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value401,420
Digit count6
Digit sum11
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 5 × 20,071
Distinct prime factors32, 5, 20,071
Number of divisors12
Sum of divisors σ(n)843,024
Aliquot sum441,604sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)160,560integers below n that share no factor with it
Carmichael function λ(n)40,140the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 160,560
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 10, 20, 20,071, 40,142, 80,284, 100,355, 200,710, 401,42012 in total
Arithmetic
Representations
Decimal401,420
Binary110001000000000110019 bits
Octal1420014
Hexadecimal6200C
Base 368LQK
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and one thousand, four hundred and twenty
Ordinalfour hundred and one thousand, four hundred and twentieth
Scientific notation4.0142 × 10^5
Engineering notation401.42 × 10^3
In other bases
Ternary202101122102base 3; the most digit-efficient integer base after e: 12 digits
Quinary100321140base 5; one hand: 9 digits
Septenary3261215base 7: 7 digits
Nonary671572base 9; each digit is two ternary digits: 6 digits
Duodecimal174378base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a3b0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:30:20base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T11TT0T11Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110000000011100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100010000000001100
Bit length19 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits14within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes306 20 0c
Gray code1010011000000001010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100010000000001100
64-bit0000000000000000000000000000000000000000000001100010000000001100
One's complement11111111111110011101111111110011at 32 bits, every bit flipped
Bits reversed00110000000001000110000000000000at 32 bits
Rotated left by 100000000000011000100000000011000at 32 bits, wrapping
Shifted left by 111000100000000011000= 802,840, no wrap
Shifted right by 1110001000000000110= 200,710, discarding the low bit
These bits as a double1.98327832 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
401,420 to the power 2161,138,016,400
401,420 to the power 364,684,022,543,288,000
401,420 to the power 425,965,460,329,326,668,960,000
401,420 to the power 510,423,055,085,398,311,453,923,200,000
First ten multiples401,420, 802,840, 1,204,260, 1,605,680, 2,007,100, 2,408,520, 2,809,940, 3,211,360, 3,612,780, 4,014,200
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9No, remainder 2
Divisible by 10Yes
Divisible by 11No, remainder 8
Divisible by 12No, remainder 8
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 1161the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps401,420 → 200,710 → 100,355 → 301,066 → 150,533 → 451,600 → 225,800 → 112,900 → 56,450 → 28,225 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,142,000%
401,420% as a decimal4,014.2
401,420% of 100401,420
401,420% of 1,0004,014,200
As a fraction of 100401,420/100
Read another way
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Derived from 401,420
Also reads as
#401420 (colour)
- #401420
- Red
- Dark
- Nearest: Black
#401420 is a red with RGB values 64, 20, 32 and HSL 344°, 52%, 16%. It is a dark colour, so white text on it reaches 15.7:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#401420#401420
HEX#401420
RGBrgb(64, 20, 32)
RGB (0–1)0.251, 0.0784, 0.1255
RGB percentages25.1%, 7.8%, 12.5%
HSLhsl(343.6, 52.4%, 16.5%)
HSV / HSBhsv(343.6, 68.8%, 25.1%)
CMYK0%, 68.8%, 50%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,199,456
CSS custom property--colour: #401420;
Brightness & contrast
Relative luminance0.01695WCAG 2.x, 0 is black and 1 is white
Perceived brightness39.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.68:1
Contrast with white15.68:1WCAG normal text: AAA
Contrast with black1.34:1WCAG normal text: Fail
Greyscale equivalent#1E1E1E
Inverted#BFEBDF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text15.68:1WCAG large text: AAA
Contrast with black, large text1.34:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#144034
Analogous#401436, #401E14
Triadic#204014, #142040
Split complementary#14401E, #143640
Tetradic#364014, #144034, #1E1440
Tints, shades & saturation
Channel breakdown
R64
G20
B32
Red64 (25.1%)
Green20 (7.8%)
Blue32 (12.5%)
Hue343.64°
Saturation (HSL)52.38%
Lightness16.47%
Dominant channelRed
Hex per channelR 40 · G 14 · B 20
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