Recognised as Number
420,007
- Positive
- Odd
- Composite
- 6 digits
420,007 is an odd 6-digit integer and a composite number. It has 8 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value420,007
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 factorisation7 × 29 × 2,069
Distinct prime factors37, 29, 2,069
Number of divisors8
Sum of divisors σ(n)496,800
Aliquot sum76,793sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)347,424integers below n that share no factor with it
Carmichael function λ(n)43,428the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 347,424
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 7, 29, 203, 2,069, 14,483, 60,001, 420,0078 in total
Arithmetic
Representations
Decimal420,007
Binary110011010001010011119 bits
Octal1464247
Hexadecimal668A7
Base 36902V
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and twenty thousand and seven
Ordinalfour hundred and twenty thousand and seventh
Scientific notation4.20007 × 10^5
Engineering notation420.007 × 10^3
In other bases
Ternary210100010211base 3; the most digit-efficient integer base after e: 12 digits
Quinary101420012base 5; one hand: 9 digits
Septenary3366340base 7: 7 digits
Nonary710124base 9; each digit is two ternary digits: 6 digits
Duodecimal183087base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2ca07base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:56:40:7base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T10100011T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111011100111111011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100110100010100111
Bit length19 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits9within that length
Bit parityeven10 set bits, so even; 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 68 a7
Gray code1010101110011110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100110100010100111
64-bit0000000000000000000000000000000000000000000001100110100010100111
One's complement11111111111110011001011101011000at 32 bits, every bit flipped
Bits reversed11100101000101100110000000000000at 32 bits
Rotated left by 100000000000011001101000101001110at 32 bits, wrapping
Shifted left by 111001101000101001110= 840,014, no wrap
Shifted right by 1110011010001010011= 210,003, discarding the low bit
These bits as a double2.0751103 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
420,007 to the power 2176,405,880,049
420,007 to the power 374,091,704,461,740,343
420,007 to the power 431,119,034,515,862,176,242,401
420,007 to the power 513,070,212,329,903,725,057,042,116,807
First ten multiples420,007, 840,014, 1,260,021, 1,680,028, 2,100,035, 2,520,042, 2,940,049, 3,360,056, 3,780,063, 4,200,070
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 1
Divisible by 7Yes
Divisible by 8No, remainder 7
Divisible by 9No, remainder 4
Divisible by 10No, remainder 7
Divisible by 11No, remainder 5
Divisible by 12No, remainder 7
Divisible by 100No, remainder 7
Collatz (3n + 1) trajectory
Steps to reach 1280the total stopping time
Highest value reached14,747,48835× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps420,007 → 1,260,022 → 630,011 → 1,890,034 → 945,017 → 2,835,052 → 1,417,526 → 708,763 → 2,126,290 → 1,063,145 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage42,000,700%
420,007% as a decimal4,200.07
420,007% of 100420,007
420,007% of 1,0004,200,070
As a fraction of 100420,007/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 420,007
Also reads as
#420007 (colour)
- #420007
- Red
- Dark
- Nearest: Maroon
#420007 is a red with RGB values 66, 0, 7 and HSL 354°, 100%, 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
#420007#420007
HEX#420007
RGBrgb(66, 0, 7)
RGB (0–1)0.2588, 0, 0.0275
RGB percentages25.9%, 0%, 2.7%
HSLhsl(353.6, 100%, 12.9%)
HSV / HSBhsv(353.6, 100%, 25.9%)
CMYK0%, 100%, 89.4%, 74.1%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,325,383
CSS custom property--colour: #420007;
Brightness & contrast
Relative luminance0.01174WCAG 2.x, 0 is black and 1 is white
Perceived brightness36.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17.01:1
Contrast with white17.01:1WCAG normal text: AAA
Contrast with black1.23:1WCAG normal text: Fail
Greyscale equivalent#0F0F0F
Inverted#BDFFF8
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text17.01:1WCAG large text: AAA
Contrast with black, large text1.23:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#00423B
Analogous#420028, #421A00
Triadic#074200, #000742
Split complementary#00421A, #002842
Tetradic#284200, #00423B, #1A0042
Tints, shades & saturation
Channel breakdown
R66
G0
B7
Red66 (25.9%)
Green0 (0%)
Blue7 (2.7%)
Hue353.64°
Saturation (HSL)100%
Lightness12.94%
Dominant channelRed
Hex per channelR 42 · G 00 · B 07
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page