Recognised as Number
742,372
- Positive
- Even
- Composite
- 6 digits
742,372 is an even 6-digit integer and a composite number. It has 6 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value742,372
Digit count6
Digit sum25
Digit product2,352
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 185,593
Distinct prime factors22, 185,593
Number of divisors6
Sum of divisors σ(n)1,299,158
Aliquot sum556,786sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)371,184integers below n that share no factor with it
Carmichael function λ(n)185,592the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 371,184
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 185,593, 371,186, 742,3726 in total
Arithmetic
Representations
Decimal742,372
Binary1011010100111110010020 bits
Octal2651744
HexadecimalB53E4
Base 36FWTG
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven hundred and forty-two thousand, three hundred and seventy-two
Ordinalseven hundred and forty-two thousand, three hundred and seventy-second
Scientific notation7.42372 × 10^5
Engineering notation742.372 × 10^3
In other bases
Ternary1101201100021base 3; the most digit-efficient integer base after e: 13 digits
Quinary142223442base 5; one hand: 9 digits
Septenary6211231base 7: 7 digits
Nonary1351307base 9; each digit is two ternary digits: 7 digits
Duodecimal2b9744base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal4cficbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:26:12:52base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary111TT011001T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110101010000100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000010110101001111100100
Bit length20 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits9within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes30b 53 e4
Gray code11101111101000010110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000010110101001111100100
64-bit0000000000000000000000000000000000000000000010110101001111100100
One's complement11111111111101001010110000011011at 32 bits, every bit flipped
Bits reversed00100111110010101101000000000000at 32 bits
Rotated left by 100000000000101101010011111001000at 32 bits, wrapping
Shifted left by 1101101010011111001000= 1,484,744, no wrap
Shifted right by 11011010100111110010= 371,186, discarding the low bit
These bits as a double3.66780502 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
742,372 to the power 2551,116,186,384
742,372 to the power 3409,133,225,518,262,848
742,372 to the power 4303,729,050,894,443,826,995,456
742,372 to the power 5225,479,942,970,610,052,734,270,661,632
First ten multiples742,372, 1,484,744, 2,227,116, 2,969,488, 3,711,860, 4,454,232, 5,196,604, 5,938,976, 6,681,348, 7,423,720
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 1
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10No, remainder 2
Divisible by 11No, remainder 4
Divisible by 12No, remainder 4
Divisible by 100No, remainder 72
Collatz (3n + 1) trajectory
Steps to reach 1211the total stopping time
Highest value reached742,372
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps742,372 → 371,186 → 185,593 → 556,780 → 278,390 → 139,195 → 417,586 → 208,793 → 626,380 → 313,190 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage74,237,200%
742,372% as a decimal7,423.72
742,372% of 100742,372
742,372% of 1,0007,423,720
As a fraction of 100742,372/100
Read another way
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Derived from 742,372
Also reads as
#742372 (colour)
- #742372
- Magenta
- Dark
- Nearest: Purple
#742372 is a magenta with RGB values 116, 35, 114 and HSL 301°, 54%, 30%. It is a dark colour, so white text on it reaches 9.4:1 contrast (AAA for normal text). The nearest named colour is Purple.
Colour values
#742372#742372
HEX#742372
RGBrgb(116, 35, 114)
RGB (0–1)0.4549, 0.1373, 0.4471
RGB percentages45.5%, 13.7%, 44.7%
HSLhsl(301.5, 53.6%, 29.6%)
HSV / HSBhsv(301.5, 69.8%, 45.5%)
CMYK0%, 69.8%, 1.7%, 54.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,611,250
CSS custom property--colour: #742372;
Brightness & contrast
Relative luminance0.0613WCAG 2.x, 0 is black and 1 is white
Perceived brightness78.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.43:1
Contrast with white9.43:1WCAG normal text: AAA
Contrast with black2.23:1WCAG normal text: Fail
Greyscale equivalent#3A3A3A
Inverted#8BDC8D
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.43:1WCAG large text: AAA
Contrast with black, large text2.23:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#237425
Analogous#4E2374, #742349
Triadic#727423, #237274
Split complementary#4A7423, #23744D
Tetradic#744D23, #237425, #234974
Tints, shades & saturation
Channel breakdown
R116
G35
B114
Red116 (45.5%)
Green35 (13.7%)
Blue114 (44.7%)
Hue301.48°
Saturation (HSL)53.64%
Lightness29.61%
Dominant channelRed
Hex per channelR 74 · G 23 · B 72
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Harmonies
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