Recognised as Number
720,240
- Positive
- Even
- Composite
- 6 digits
720,240 is an even 6-digit integer and a composite number. It has 40 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value720,240
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 factorisation2^4 × 3 × 5 × 3,001
Distinct prime factors42, 3, 5, 3,001
Number of divisors40
Sum of divisors σ(n)2,233,488
Aliquot sum1,513,248sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)192,000integers below n that share no factor with it
Carmichael function λ(n)3,000the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 192,000
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 3,001, 6,002, 9,003, 12,004, 15,005, 18,006, 24,008, 30,010, 36,012, 45,015, 48,016, 60,020, 72,024, 90,030, 120,040, 144,048, 180,060, 240,080, 360,120, 720,24040 in total
Arithmetic
Representations
Decimal720,240
Binary1010111111010111000020 bits
Octal2576560
HexadecimalAFD70
Base 36FFQO
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven hundred and twenty thousand, two hundred and forty
Ordinalseven hundred and twenty thousand, two hundred and fortieth
Scientific notation7.2024 × 10^5
Engineering notation720.24 × 10^3
In other bases
Ternary1100120222120base 3; the most digit-efficient integer base after e: 13 digits
Quinary141021430base 5; one hand: 9 digits
Septenary6056553base 7: 7 digits
Nonary1316876base 9; each digit is two ternary digits: 7 digits
Duodecimal2a8980base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal4a0c0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:20:4:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1101TT1000TT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110000001010110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000010101111110101110000
Bit length20 bitsto write the magnitude
Set bits12the population count, or Hamming weight
Zero bits8within that length
Bit parityeven12 set bits, so even; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes30a fd 70
Gray code11111000001111001000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000010101111110101110000
64-bit0000000000000000000000000000000000000000000010101111110101110000
One's complement11111111111101010000001010001111at 32 bits, every bit flipped
Bits reversed00001110101111110101000000000000at 32 bits
Rotated left by 100000000000101011111101011100000at 32 bits, wrapping
Shifted left by 1101011111101011100000= 1,440,480, no wrap
Shifted right by 11010111111010111000= 360,120, discarding the low bit
These bits as a double3.55845841 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
720,240 to the power 2518,745,657,600
720,240 to the power 3373,621,372,429,824,000
720,240 to the power 4269,097,057,278,856,437,760,000
720,240 to the power 5193,814,464,534,523,560,732,262,400,000
First ten multiples720,240, 1,440,480, 2,160,720, 2,880,960, 3,601,200, 4,321,440, 5,041,680, 5,761,920, 6,482,160, 7,202,400
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 3
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100No, remainder 40
Collatz (3n + 1) trajectory
Steps to reach 1105the total stopping time
Highest value reached720,240
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps720,240 → 360,120 → 180,060 → 90,030 → 45,015 → 135,046 → 67,523 → 202,570 → 101,285 → 303,856 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage72,024,000%
720,240% as a decimal7,202.4
720,240% of 100720,240
720,240% of 1,0007,202,400
As a fraction of 100720,240/100
Read another way
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Derived from 720,240
Also reads as
#720240 (colour)
- #720240
- Magenta
- Dark
- Nearest: Medium violet red
#720240 is a magenta with RGB values 114, 2, 64 and HSL 327°, 97%, 23%. It is a dark colour, so white text on it reaches 11.7:1 contrast (AAA for normal text). The nearest named colour is Medium violet red.
Colour values
#720240#720240
HEX#720240
RGBrgb(114, 2, 64)
RGB (0–1)0.4471, 0.0078, 0.251
RGB percentages44.7%, 0.8%, 25.1%
HSLhsl(326.8, 96.6%, 22.7%)
HSV / HSBhsv(326.8, 98.2%, 44.7%)
CMYK0%, 98.2%, 43.9%, 55.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,471,680
CSS custom property--colour: #720240;
Brightness & contrast
Relative luminance0.03991WCAG 2.x, 0 is black and 1 is white
Perceived brightness66 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.68:1
Contrast with white11.68:1WCAG normal text: AAA
Contrast with black1.8:1WCAG normal text: Fail
Greyscale equivalent#1E1E1E
Inverted#8DFDBF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text11.68:1WCAG large text: AAA
Contrast with black, large text1.8:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#027234
Analogous#6C0272, #720208
Triadic#407202, #024072
Split complementary#087202, #02726C
Tetradic#726C02, #027234, #020872
Tints, shades & saturation
Channel breakdown
R114
G2
B64
Red114 (44.7%)
Green2 (0.8%)
Blue64 (25.1%)
Hue326.79°
Saturation (HSL)96.55%
Lightness22.75%
Dominant channelRed
Hex per channelR 72 · G 02 · B 40
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Harmonies
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