Recognised as Number
748
- Positive
- Even
- Composite
- 3 digits
748 is an even 3-digit integer and a composite number. It has 12 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value748
Digit count3
Digit sum19
Digit product224
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 11 × 17
Distinct prime factors32, 11, 17
Number of divisors12
Sum of divisors σ(n)1,512
Aliquot sum764sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)320integers below n that share no factor with it
Carmichael function λ(n)80the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 320
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 74812 in total
Arithmetic
Representations
Decimal748
Binary101110110010 bits
Octal1354
Hexadecimal2EC
Base 36KS
Roman numeralDCCXLVIII
In wordsseven hundred and forty-eight
Ordinalseven hundred and forty-eighth
Scientific notation7.48 × 10^2
Engineering notation748
In other bases
Ternary1000201base 3; the most digit-efficient integer base after e: 7 digits
Quinary10443base 5; one hand: 5 digits
Septenary2116base 7: 4 digits
Nonary1021base 9; each digit is two ternary digits: 4 digits
Duodecimal524base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1h8base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal12:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1001T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11100111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001011101100
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 22 trailing zeros
Power of twoNo
Bytes202 ec
Gray code1110011010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001011101100
32-bit00000000000000000000001011101100
64-bit0000000000000000000000000000000000000000000000000000001011101100
One's complement1111110100010011at 16 bits, every bit flipped
Bits reversed0011011101000000at 16 bits
Rotated left by 10000010111011000at 16 bits, wrapping
Shifted left by 110111011000= 1,496, no wrap
Shifted right by 1101110110= 374, discarding the low bit
These bits as a double3.69561103 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
748 to the power 2559,504
748 to the power 3418,508,992
748 to the power 4313,044,726,016
748 to the power 5234,157,455,059,968
First ten multiples748, 1,496, 2,244, 2,992, 3,740, 4,488, 5,236, 5,984, 6,732, 7,480
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 1
Divisible by 10No, remainder 8
Divisible by 11Yes
Divisible by 12No, remainder 4
Divisible by 100No, remainder 48
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 steps748 → 374 → 187 → 562 → 281 → 844 → 422 → 211 → 634 → 317 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage74,800%
748% as a decimal7.48
748% of 100748
748% of 1,0007,480
As a fraction of 100748/100
Read another way
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Derived from 748
Other readings
Also reads as
#774488 (colour)
- #774488
- Violet
- Dark
- Nearest: Dark slateblue
#774488 is a violet with RGB values 119, 68, 136 and HSL 285°, 33%, 40%. It is a dark colour, so white text on it reaches 7.1:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#774488#774488
HEX#774488
HEX (short)#748
RGBrgb(119, 68, 136)
RGB (0–1)0.4667, 0.2667, 0.5333
RGB percentages46.7%, 26.7%, 53.3%
HSLhsl(285, 33.3%, 40%)
HSV / HSBhsv(285, 50%, 53.3%)
CMYK12.5%, 50%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,816,328
CSS custom property--colour: #774488;
Brightness & contrast
Relative luminance0.09834WCAG 2.x, 0 is black and 1 is white
Perceived brightness95.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.08:1
Contrast with white7.08:1WCAG normal text: AAA
Contrast with black2.97:1WCAG normal text: Fail
Greyscale equivalent#545454
Inverted#88BB77
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text7.08:1WCAG large text: AAA
Contrast with black, large text2.97:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#558844
Analogous#554488, #884477
Triadic#887744, #448877
Split complementary#778844, #448855
Tetradic#885544, #558844, #447788
Tints, shades & saturation
Channel breakdown
R119
G68
B136
Red119 (46.7%)
Green68 (26.7%)
Blue136 (53.3%)
Hue285°
Saturation (HSL)33.33%
Lightness40%
Dominant channelBlue
Hex per channelR 77 · G 44 · B 88
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Harmonies
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