Recognised as Number
948
- Positive
- Even
- Composite
- 3 digits
948 is an even 3-digit integer and a composite number. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value948
Digit count3
Digit sum21
Digit product288
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3 × 79
Distinct prime factors32, 3, 79
Number of divisors12
Sum of divisors σ(n)2,240
Aliquot sum1,292sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)312integers below n that share no factor with it
Carmichael function λ(n)78the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 312
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 94812 in total
Arithmetic
Representations
Decimal948
Binary111011010010 bits
Octal1664
Hexadecimal3B4
Base 36QC
Roman numeralCMXLVIII
In wordsnine hundred and forty-eight
Ordinalnine hundred and forty-eighth
Scientific notation9.48 × 10^2
Engineering notation948
In other bases
Ternary1022010base 3; the most digit-efficient integer base after e — 7 digits
Quinary12243base 5; one hand — 5 digits
Septenary2523base 7 — 4 digits
Nonary1263base 9; each digit is two ternary digits — 4 digits
Duodecimal670base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimal278base 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal15:48base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternary110T010digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10011110100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001110110100
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
Bytes203 b4
Gray code1001101110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001110110100
32-bit00000000000000000000001110110100
64-bit0000000000000000000000000000000000000000000000000000001110110100
One's complement1111110001001011at 16 bits, every bit flipped
Bits reversed0010110111000000at 16 bits
Rotated left by 10000011101101000at 16 bits, wrapping
Shifted left by 111101101000= 1,896, no wrap
Shifted right by 1111011010= 474, discarding the low bit
These bits as a double4.68374232 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
948 to the power 2898,704
948 to the power 3851,971,392
948 to the power 4807,668,879,616
948 to the power 5765,670,097,875,968
First ten multiples948, 1,896, 2,844, 3,792, 4,740, 5,688, 6,636, 7,584, 8,532, 9,480
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 8
Divisible by 11No, remainder 2
Divisible by 12Yes
Divisible by 100No, remainder 48
Collatz (3n + 1) trajectory
Steps to reach 136the total stopping time
Highest value reached948
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps948 → 474 → 237 → 712 → 356 → 178 → 89 → 268 → 134 → 67 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage94,800%
948% as a decimal9.48
948% of 100948
948% of 1,0009,480
As a fraction of 100948/100
Read another way
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Derived from 948
Other readings
Also reads as
#994488 (colour)
- #994488
- Magenta
- Dark
- Nearest: Purple
#994488 is a magenta with RGB values 153, 68, 136 and HSL 312°, 38%, 43%. It is a dark colour, so white text on it reaches 5.9:1 contrast (AA for normal text). The nearest named colour is Purple.
Colour values
#994488#994488
HEX#994488
HEX (short)#948
RGBrgb(153, 68, 136)
RGB (0–1)0.6, 0.2667, 0.5333
RGB percentages60%, 26.7%, 53.3%
HSLhsl(312, 38.5%, 43.3%)
HSV / HSBhsv(312, 55.6%, 60%)
CMYK0%, 55.6%, 11.1%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer10,044,552
CSS custom property--colour: #994488;
Brightness & contrast
Relative luminance0.12684WCAG 2.x, 0 is black and 1 is white
Perceived brightness108.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 5.94:1
Contrast with white5.94:1WCAG normal text: AA
Contrast with black3.54:1WCAG normal text: Fail
Greyscale equivalent#5B5B5B
Inverted#66BB77
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text5.94:1WCAG large text: AAA
Contrast with black, large text3.54:1WCAG large text: AA
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#449955
Analogous#804499, #99445E
Triadic#889944, #448899
Split complementary#5E9944, #449980
Tetradic#998044, #449955, #445E99
Tints, shades & saturation
Channel breakdown
R153
G68
B136
Red153 (60%)
Green68 (26.7%)
Blue136 (53.3%)
Hue312°
Saturation (HSL)38.46%
Lightness43.33%
Dominant channelRed
Hex per channelR 99 · G 44 · B 88
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Harmonies
Similar named colours
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