Recognised as Number
726
- Positive
- Even
- Composite
- 3 digits
726 is an even 3-digit integer and a composite number. It has 12 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value726
Digit count3
Digit sum15
Digit product84
Multiplicative persistence3times 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 numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 3 × 11^2
Distinct prime factors32, 3, 11
Number of divisors12
Sum of divisors σ(n)1,596
Aliquot sum870sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)220integers below n that share no factor with it
Carmichael function λ(n)110the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 220
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 72612 in total
Arithmetic
Representations
Decimal726
Binary101101011010 bits
Octal1326
Hexadecimal2D6
Base 36K6
Roman numeralDCCXXVI
In wordsseven hundred and twenty-six
Ordinalseven hundred and twenty-sixth
Scientific notation7.26 × 10^2
Engineering notation726
In other bases
Ternary222220base 3; the most digit-efficient integer base after e: 6 digits
Quinary10401base 5; one hand: 5 digits
Septenary2055base 7: 4 digits
Nonary886base 9; each digit is two ternary digits: 3 digits
Duodecimal506base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1g6base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal12:6base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary10000T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11100101010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001011010110
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes202 d6
Gray code1110111101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001011010110
32-bit00000000000000000000001011010110
64-bit0000000000000000000000000000000000000000000000000000001011010110
One's complement1111110100101001at 16 bits, every bit flipped
Bits reversed0110101101000000at 16 bits
Rotated left by 10000010110101100at 16 bits, wrapping
Shifted left by 110110101100= 1,452, no wrap
Shifted right by 1101101011= 363, discarding the low bit
These bits as a double3.58691659 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
726 to the power 2527,076
726 to the power 3382,657,176
726 to the power 4277,809,109,776
726 to the power 5201,689,413,697,376
First ten multiples726, 1,452, 2,178, 2,904, 3,630, 4,356, 5,082, 5,808, 6,534, 7,260
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 1
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 6
Divisible by 10No, remainder 6
Divisible by 11Yes
Divisible by 12No, remainder 6
Divisible by 100No, remainder 26
Collatz (3n + 1) trajectory
Steps to reach 146the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps726 → 363 → 1,090 → 545 → 1,636 → 818 → 409 → 1,228 → 614 → 307 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage72,600%
726% as a decimal7.26
726% of 100726
726% of 1,0007,260
As a fraction of 100726/100
Read another way
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Derived from 726
Other readings
Also reads as
#772266 (colour)
- #772266
- Magenta
- Dark
- Nearest: Purple
#772266 is a magenta with RGB values 119, 34, 102 and HSL 312°, 56%, 30%. It is a dark colour, so white text on it reaches 9.5:1 contrast (AAA for normal text). The nearest named colour is Purple.
Colour values
#772266#772266
HEX#772266
HEX (short)#726
RGBrgb(119, 34, 102)
RGB (0–1)0.4667, 0.1333, 0.4
RGB percentages46.7%, 13.3%, 40%
HSLhsl(312, 55.6%, 30%)
HSV / HSBhsv(312, 71.4%, 46.7%)
CMYK0%, 71.4%, 14.3%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,807,590
CSS custom property--colour: #772266;
Brightness & contrast
Relative luminance0.06025WCAG 2.x, 0 is black and 1 is white
Perceived brightness78.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.52:1
Contrast with white9.52:1WCAG normal text: AAA
Contrast with black2.21:1WCAG normal text: Fail
Greyscale equivalent#393939
Inverted#88DD99
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.52:1WCAG large text: AAA
Contrast with black, large text2.21:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#227733
Analogous#5E2277, #77223B
Triadic#667722, #226677
Split complementary#3C7722, #22775E
Tetradic#775E22, #227733, #223B77
Tints, shades & saturation
Channel breakdown
R119
G34
B102
Red119 (46.7%)
Green34 (13.3%)
Blue102 (40%)
Hue312°
Saturation (HSL)55.56%
Lightness30%
Dominant channelRed
Hex per channelR 77 · G 22 · B 66
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Harmonies
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