Recognised as Number
720,360
- Positive
- Even
- Composite
- 6 digits
720,360 is an even 6-digit integer and a composite number. It has 128 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value720,360
Digit count6
Digit sum18
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 factorisation2^3 × 3^3 × 5 × 23 × 29
Distinct prime factors52, 3, 5, 23, 29
Number of divisors128
Sum of divisors σ(n)2,592,000
Aliquot sum1,871,640sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)177,408integers below n that share no factor with it
Carmichael function λ(n)2,772the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 177,408
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27, 29, 30, 36, 40, 45, 46, 54, 58, 60, 69, 72, 87, 90, 92, 108, 115, 116, 120, 135, 138, 145, 174, 180, 184, 207, 216, 230, 232, 261, 270, 276, 290, 345, 348, 360, 414, 435, 460, 522, 540, 552, 580, 621, 667, 690, 696, 783, 828, 870, 920, 1,035, 1,044, 1,080, 1,160, 1,242, 1,305, 1,334, 1,380, 1,566, 1,656, 1,740, 2,001, 2,070, 2,088, 2,484, 2,610, 2,668, 2,760, 3,105, 3,132, 3,335, 3,480, 3,915, 4,002, 4,140, 4,968, 5,220, 5,336, 6,003, 6,210, 6,264, 6,670, 7,830, 8,004, 8,280, 10,005, 10,440, 12,006, 12,420, 13,340, 15,660, 16,008, 18,009, 20,010, 24,012, 24,840, 26,680, 30,015, 31,320, 36,018, 40,020, 48,024, 60,030, 72,036, 80,040, 90,045, 120,060, 144,072, 180,090, 240,120, 360,180, 720,360128 in total
Arithmetic
Representations
Decimal720,360
Binary1010111111011110100020 bits
Octal2576750
HexadecimalAFDE8
Base 36FFU0
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven hundred and twenty thousand, three hundred and sixty
Ordinalseven hundred and twenty thousand, three hundred and sixtieth
Scientific notation7.2036 × 10^5
Engineering notation720.36 × 10^3
In other bases
Ternary1100121011000base 3; the most digit-efficient integer base after e: 13 digits
Quinary141022420base 5; one hand: 9 digits
Septenary6060114base 7: 7 digits
Nonary1317130base 9; each digit is two ternary digits: 7 digits
Duodecimal2a8a60base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal4a0i0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:20:6:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1101TT1011000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110000001000111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000010101111110111101000
Bit length20 bitsto write the magnitude
Set bits13the population count, or Hamming weight
Zero bits7within that length
Bit parityodd13 set bits, so odd; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes30a fd e8
Gray code11111000001100011100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000010101111110111101000
64-bit0000000000000000000000000000000000000000000010101111110111101000
One's complement11111111111101010000001000010111at 32 bits, every bit flipped
Bits reversed00010111101111110101000000000000at 32 bits
Rotated left by 100000000000101011111101111010000at 32 bits, wrapping
Shifted left by 1101011111101111010000= 1,440,720, no wrap
Shifted right by 11010111111011110100= 360,180, discarding the low bit
These bits as a double3.55905129 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
720,360 to the power 2518,918,529,600
720,360 to the power 3373,808,151,982,656,000
720,360 to the power 4269,276,440,362,226,076,160,000
720,360 to the power 5193,975,976,579,333,176,222,617,600,000
First ten multiples720,360, 1,440,720, 2,161,080, 2,881,440, 3,601,800, 4,322,160, 5,042,520, 5,762,880, 6,483,240, 7,203,600
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 4
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 3
Divisible by 12Yes
Divisible by 100No, remainder 60
Collatz (3n + 1) trajectory
Steps to reach 1167the total stopping time
Highest value reached720,360
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps720,360 → 360,180 → 180,090 → 90,045 → 270,136 → 135,068 → 67,534 → 33,767 → 101,302 → 50,651 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage72,036,000%
720,360% as a decimal7,203.6
720,360% of 100720,360
720,360% of 1,0007,203,600
As a fraction of 100720,360/100
Read another way
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Derived from 720,360
Also reads as
#720360 (colour)
- #720360
- Magenta
- Dark
- Nearest: Purple
#720360 is a magenta with RGB values 114, 3, 96 and HSL 310°, 95%, 23%. It is a dark colour, so white text on it reaches 11.1:1 contrast (AAA for normal text). The nearest named colour is Purple.
Colour values
#720360#720360
HEX#720360
RGBrgb(114, 3, 96)
RGB (0–1)0.4471, 0.0118, 0.3765
RGB percentages44.7%, 1.2%, 37.6%
HSLhsl(309.7, 94.9%, 22.9%)
HSV / HSBhsv(309.7, 97.4%, 44.7%)
CMYK0%, 97.4%, 15.8%, 55.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,471,968
CSS custom property--colour: #720360;
Brightness & contrast
Relative luminance0.04487WCAG 2.x, 0 is black and 1 is white
Perceived brightness70.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.07:1
Contrast with white11.07:1WCAG normal text: AAA
Contrast with black1.9:1WCAG normal text: Fail
Greyscale equivalent#212121
Inverted#8DFC9F
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text11.07:1WCAG large text: AAA
Contrast with black, large text1.9:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#037215
Analogous#4D0372, #720328
Triadic#607203, #036072
Split complementary#287203, #03724D
Tetradic#724D03, #037215, #032872
Tints, shades & saturation
Channel breakdown
R114
G3
B96
Red114 (44.7%)
Green3 (1.2%)
Blue96 (37.6%)
Hue309.73°
Saturation (HSL)94.87%
Lightness22.94%
Dominant channelRed
Hex per channelR 72 · G 03 · B 60
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