Recognised as Number
720,420
- Positive
- Even
- Composite
- 6 digits
720,420 is an even 6-digit integer and a composite number. It has 24 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value720,420
Digit count6
Digit sum15
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3 × 5 × 12,007
Distinct prime factors42, 3, 5, 12,007
Number of divisors24
Sum of divisors σ(n)2,017,344
Aliquot sum1,296,924sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)192,096integers below n that share no factor with it
Carmichael function λ(n)24,012the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 192,096
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 12,007, 24,014, 36,021, 48,028, 60,035, 72,042, 120,070, 144,084, 180,105, 240,140, 360,210, 720,42024 in total
Arithmetic
Representations
Decimal720,420
Binary1010111111100010010020 bits
Octal2577044
HexadecimalAFE24
Base 36FFVO
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven hundred and twenty thousand, four hundred and twenty
Ordinalseven hundred and twenty thousand, four hundred and twentieth
Scientific notation7.2042 × 10^5
Engineering notation720.42 × 10^3
In other bases
Ternary1100121020020base 3; the most digit-efficient integer base after e: 13 digits
Quinary141023140base 5; one hand: 9 digits
Septenary6060231base 7: 7 digits
Nonary1317206base 9; each digit is two ternary digits: 7 digits
Duodecimal2a8ab0base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal4a110base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:20:7:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1101TT11T01T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110000001001100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000010101111111000100100
Bit length20 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits9within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes30a fe 24
Gray code11111000000100110110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000010101111111000100100
64-bit0000000000000000000000000000000000000000000010101111111000100100
One's complement11111111111101010000000111011011at 32 bits, every bit flipped
Bits reversed00100100011111110101000000000000at 32 bits
Rotated left by 100000000000101011111110001001000at 32 bits, wrapping
Shifted left by 1101011111110001001000= 1,440,840, no wrap
Shifted right by 11010111111100010010= 360,210, discarding the low bit
These bits as a double3.55934773 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
720,420 to the power 2519,004,976,400
720,420 to the power 3373,901,565,098,088,000
720,420 to the power 4269,366,165,527,964,556,960,000
720,420 to the power 5194,056,772,969,656,226,125,123,200,000
First ten multiples720,420, 1,440,840, 2,161,260, 2,881,680, 3,602,100, 4,322,520, 5,042,940, 5,763,360, 6,483,780, 7,204,200
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8No, remainder 4
Divisible by 9No, remainder 6
Divisible by 10Yes
Divisible by 11No, remainder 8
Divisible by 12Yes
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 1118the total stopping time
Highest value reached1,025,7641× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps720,420 → 360,210 → 180,105 → 540,316 → 270,158 → 135,079 → 405,238 → 202,619 → 607,858 → 303,929 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage72,042,000%
720,420% as a decimal7,204.2
720,420% of 100720,420
720,420% of 1,0007,204,200
As a fraction of 100720,420/100
Read another way
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Derived from 720,420
Also reads as
#720420 (colour)
- #720420
- Red
- Dark
- Nearest: Brown
#720420 is a red with RGB values 114, 4, 32 and HSL 345°, 93%, 23%. It is a dark colour, so white text on it reaches 12:1 contrast (AAA for normal text). The nearest named colour is Brown.
Colour values
#720420#720420
HEX#720420
RGBrgb(114, 4, 32)
RGB (0–1)0.4471, 0.0157, 0.1255
RGB percentages44.7%, 1.6%, 12.5%
HSLhsl(344.7, 93.2%, 23.1%)
HSV / HSBhsv(344.7, 96.5%, 44.7%)
CMYK0%, 96.5%, 71.9%, 55.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,472,160
CSS custom property--colour: #720420;
Brightness & contrast
Relative luminance0.03769WCAG 2.x, 0 is black and 1 is white
Perceived brightness63.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.97:1
Contrast with white11.97:1WCAG normal text: AAA
Contrast with black1.75:1WCAG normal text: Fail
Greyscale equivalent#1D1D1D
Inverted#8DFBDF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text11.97:1WCAG large text: AAA
Contrast with black, large text1.75:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#047256
Analogous#720457, #721F04
Triadic#207204, #042072
Split complementary#04721F, #045772
Tetradic#577204, #047256, #1F0472
Tints, shades & saturation
Channel breakdown
R114
G4
B32
Red114 (44.7%)
Green4 (1.6%)
Blue32 (12.5%)
Hue344.73°
Saturation (HSL)93.22%
Lightness23.14%
Dominant channelRed
Hex per channelR 72 · G 04 · B 20
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