Recognised as Number
420,012
- Positive
- Even
- Composite
- 6 digits
420,012 is an even 6-digit integer and a composite number. It has 24 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value420,012
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 factorisation2^2 × 3^3 × 3,889
Distinct prime factors32, 3, 3,889
Number of divisors24
Sum of divisors σ(n)1,089,200
Aliquot sum669,188sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)139,968integers below n that share no factor with it
Carmichael function λ(n)3,888the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 139,968
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 3,889, 7,778, 11,667, 15,556, 23,334, 35,001, 46,668, 70,002, 105,003, 140,004, 210,006, 420,01224 in total
Arithmetic
Representations
Decimal420,012
Binary110011010001010110019 bits
Octal1464254
Hexadecimal668AC
Base 369030
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and twenty thousand and twelve
Ordinalfour hundred and twenty thousand and twelfth
Scientific notation4.20012 × 10^5
Engineering notation420.012 × 10^3
In other bases
Ternary210100011000base 3; the most digit-efficient integer base after e: 12 digits
Quinary101420022base 5; one hand: 9 digits
Septenary3366345base 7: 7 digits
Nonary710130base 9; each digit is two ternary digits: 6 digits
Duodecimal183090base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2ca0cbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:56:40:12base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T10100011000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111011100111111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100110100010101100
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 22 trailing zeros
Power of twoNo
Bytes306 68 ac
Gray code1010101110011111010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100110100010101100
64-bit0000000000000000000000000000000000000000000001100110100010101100
One's complement11111111111110011001011101010011at 32 bits, every bit flipped
Bits reversed00110101000101100110000000000000at 32 bits
Rotated left by 100000000000011001101000101011000at 32 bits, wrapping
Shifted left by 111001101000101011000= 840,024, no wrap
Shifted right by 1110011010001010110= 210,006, discarding the low bit
These bits as a double2.075135 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
420,012 to the power 2176,410,080,144
420,012 to the power 374,094,350,581,441,728
420,012 to the power 431,120,516,376,412,503,060,736
420,012 to the power 513,070,990,324,289,768,235,545,848,832
First ten multiples420,012, 840,024, 1,260,036, 1,680,048, 2,100,060, 2,520,072, 2,940,084, 3,360,096, 3,780,108, 4,200,120
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10No, remainder 2
Divisible by 11No, remainder 10
Divisible by 12Yes
Divisible by 100No, remainder 12
Collatz (3n + 1) trajectory
Steps to reach 181the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps420,012 → 210,006 → 105,003 → 315,010 → 157,505 → 472,516 → 236,258 → 118,129 → 354,388 → 177,194 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage42,001,200%
420,012% as a decimal4,200.12
420,012% of 100420,012
420,012% of 1,0004,200,120
As a fraction of 100420,012/100
Read another way
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Derived from 420,012
Also reads as
#420012 (colour)
- #420012
- Red
- Dark
- Nearest: Black
#420012 is a red with RGB values 66, 0, 18 and HSL 344°, 100%, 13%. It is a dark colour, so white text on it reaches 16.9:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#420012#420012
HEX#420012
RGBrgb(66, 0, 18)
RGB (0–1)0.2588, 0, 0.0706
RGB percentages25.9%, 0%, 7.1%
HSLhsl(343.6, 100%, 12.9%)
HSV / HSBhsv(343.6, 100%, 25.9%)
CMYK0%, 100%, 72.7%, 74.1%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,325,394
CSS custom property--colour: #420012;
Brightness & contrast
Relative luminance0.01202WCAG 2.x, 0 is black and 1 is white
Perceived brightness36.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.93:1
Contrast with white16.93:1WCAG normal text: AAA
Contrast with black1.24:1WCAG normal text: Fail
Greyscale equivalent#0F0F0F
Inverted#BDFFED
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.93:1WCAG 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#004230
Analogous#420033, #420F00
Triadic#124200, #001242
Split complementary#00420F, #003342
Tetradic#334200, #004230, #0F0042
Tints, shades & saturation
Channel breakdown
R66
G0
B18
Red66 (25.9%)
Green0 (0%)
Blue18 (7.1%)
Hue343.64°
Saturation (HSL)100%
Lightness12.94%
Dominant channelRed
Hex per channelR 42 · G 00 · B 12
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