Recognised as Number
421,472
- Positive
- Even
- Composite
- 6 digits
421,472 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 value421,472
Digit count6
Digit sum20
Digit product448
Multiplicative persistence4times 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 factorisation2^5 × 13,171
Distinct prime factors22, 13,171
Number of divisors12
Sum of divisors σ(n)829,836
Aliquot sum408,364sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)210,720integers below n that share no factor with it
Carmichael function λ(n)52,680the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 210,720
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 32, 13,171, 26,342, 52,684, 105,368, 210,736, 421,47212 in total
Arithmetic
Representations
Decimal421,472
Binary110011011100110000019 bits
Octal1467140
Hexadecimal66E60
Base 36917K
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and twenty-one thousand, four hundred and seventy-two
Ordinalfour hundred and twenty-one thousand, four hundred and seventy-second
Scientific notation4.21472 × 10^5
Engineering notation421.472 × 10^3
In other bases
Ternary210102011002base 3; the most digit-efficient integer base after e: 12 digits
Quinary101441342base 5; one hand: 9 digits
Septenary3403532base 7: 7 digits
Nonary712132base 9; each digit is two ternary digits: 6 digits
Duodecimal183aa8base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2cddcbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:57:4:32base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1011T01101Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111011001110100000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100110111001100000
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 55 trailing zeros
Power of twoNo
Bytes306 6e 60
Gray code1010101100101010000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100110111001100000
64-bit0000000000000000000000000000000000000000000001100110111001100000
One's complement11111111111110011001000110011111at 32 bits, every bit flipped
Bits reversed00000110011101100110000000000000at 32 bits
Rotated left by 100000000000011001101110011000000at 32 bits, wrapping
Shifted left by 111001101110011000000= 842,944, no wrap
Shifted right by 1110011011100110000= 210,736, discarding the low bit
These bits as a double2.08234836 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
421,472 to the power 2177,638,646,784
421,472 to the power 374,869,715,737,346,048
421,472 to the power 431,555,488,831,250,713,542,656
421,472 to the power 513,299,754,988,684,900,738,250,309,632
First ten multiples421,472, 842,944, 1,264,416, 1,685,888, 2,107,360, 2,528,832, 2,950,304, 3,371,776, 3,793,248, 4,214,720
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 5No, remainder 2
Divisible by 6No, remainder 2
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9No, remainder 2
Divisible by 10No, remainder 2
Divisible by 11No, remainder 7
Divisible by 12No, remainder 8
Divisible by 100No, remainder 72
Collatz (3n + 1) trajectory
Steps to reach 1143the total stopping time
Highest value reached421,472
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps421,472 → 210,736 → 105,368 → 52,684 → 26,342 → 13,171 → 39,514 → 19,757 → 59,272 → 29,636 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage42,147,200%
421,472% as a decimal4,214.72
421,472% of 100421,472
421,472% of 1,0004,214,720
As a fraction of 100421,472/100
Read another way
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Derived from 421,472
Also reads as
#421472 (colour)
- #421472
- Violet
- Dark
- Nearest: Midnight blue
#421472 is a violet with RGB values 66, 20, 114 and HSL 269°, 70%, 26%. It is a dark colour, so white text on it reaches 13.3:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#421472#421472
HEX#421472
RGBrgb(66, 20, 114)
RGB (0–1)0.2588, 0.0784, 0.4471
RGB percentages25.9%, 7.8%, 44.7%
HSLhsl(269.4, 70.1%, 26.3%)
HSV / HSBhsv(269.4, 82.5%, 44.7%)
CMYK42.1%, 82.5%, 0%, 55.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,330,610
CSS custom property--colour: #421472;
Brightness & contrast
Relative luminance0.02873WCAG 2.x, 0 is black and 1 is white
Perceived brightness54.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.34:1
Contrast with white13.34:1WCAG normal text: AAA
Contrast with black1.57:1WCAG normal text: Fail
Greyscale equivalent#252525
Inverted#BDEB8D
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text13.34:1WCAG large text: AAA
Contrast with black, large text1.57:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#447214
Analogous#141572, #711472
Triadic#724214, #147242
Split complementary#727114, #157214
Tetradic#721415, #447214, #147271
Tints, shades & saturation
Channel breakdown
R66
G20
B114
Red66 (25.9%)
Green20 (7.8%)
Blue114 (44.7%)
Hue269.36°
Saturation (HSL)70.15%
Lightness26.27%
Dominant channelBlue
Hex per channelR 42 · G 14 · B 72
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Harmonies
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