Number
842,400
- Positive
- Even
- Composite
- 6 digits
842,400 is an even 6-digit integer and a composite number. It has 180 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value842,400
Digit count6
Digit sum18
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^5 × 3^4 × 5^2 × 13
Distinct prime factors42, 3, 5, 13
Number of divisors180
Sum of divisors σ(n)3,308,382
Aliquot sum2,465,982sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)207,360integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 25, 26, 27, 30, 32, 36, 39, 40, 45, 48, 50, 52, 54, 60, 65, 72, 75, 78, 80, 81, 90, 96, 100, 104, 108, 117, 120, 130, 135, 144, 150, 156, 160, 162, 180, 195, 200, 208, 216, 225, 234, 240, 260, 270, 288, 300, 312, 324, 325, 351, 360, 390, 400, 405, 416, 432, 450, 468, 480, 520, 540, 585, 600, 624, 648, 650, 675, 702, 720, 780, 800, 810, 864, 900, 936, 975, 1,040, 1,053, 1,080, 1,170, 1,200, 1,248, 1,296, 1,300, 1,350, 1,404, 1,440, 1,560, 1,620, 1,755, 1,800, 1,872, 1,950, 2,025, 2,080, 2,106, 2,160, 2,340, 2,400, 2,592, 2,600, 2,700, 2,808, 2,925, 3,120, 3,240, 3,510, 3,600, 3,744, 3,900, 4,050, 4,212, 4,320, 4,680, 5,200, 5,265, 5,400, 5,616, 5,850, 6,240, 6,480, 7,020, 7,200, 7,800, 8,100, 8,424, 8,775, 9,360, 10,400, 10,530, 10,800, 11,232, 11,700, 12,960, 14,040, 15,600, 16,200, 16,848, 17,550, 18,720, 21,060, 21,600, 23,400, 26,325, 28,080, 31,200, 32,400, 33,696, 35,100, 42,120, 46,800, 52,650, 56,160, 64,800, 70,200, 84,240, 93,600, 105,300, 140,400, 168,480, 210,600, 280,800, 421,200, 842,400180 in total
Arithmetic
Representations
Decimal842,400
Binary1100110110101010000020 bits
Octal3155240
HexadecimalCDAA0
Base 36I200
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight hundred and forty-two thousand, four hundred
Ordinaleight hundred and forty-two thousand, four hundredth
Scientific notation8.424 × 10^5
Engineering notation842.4 × 10^3
Nearest landmarks
Powers & multiples
842,400 to the power 2709,637,760,000
842,400 to the power 3597,798,849,024,000,000
842,400 to the power 4503,585,750,417,817,600,000,000
842,400 to the power 5424,220,636,151,969,546,240,000,000,000
First ten multiples842,400, 1,684,800, 2,527,200, 3,369,600, 4,212,000, 5,054,400, 5,896,800, 6,739,200, 7,581,600, 8,424,000
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 6
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 1144the total stopping time
Highest value reached842,400
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps842,400 → 421,200 → 210,600 → 105,300 → 52,650 → 26,325 → 78,976 → 39,488 → 19,744 → 9,872 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage84,240,000%
842,400% as a decimal8,424
842,400% of 100842,400
842,400% of 1,0008,424,000
As a fraction of 100842,400/100
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Derived from 842,400
Also reads as
#842400 (colour)
- #842400
- Orange
- Dark
- Nearest: Maroon
#842400 is a orange with RGB values 132, 36, 0 and HSL 16°, 100%, 26%. It is a dark colour, so white text on it reaches 9.4:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#842400#842400
HEX#842400
RGBrgb(132, 36, 0)
RGB (0–1)0.5176, 0.1412, 0
RGB percentages51.8%, 14.1%, 0%
HSLhsl(16.4, 100%, 25.9%)
HSV / HSBhsv(16.4, 100%, 51.8%)
CMYK0%, 72.7%, 100%, 48.2%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,659,968
CSS custom property--colour: #842400;
Brightness & contrast
Relative luminance0.06167WCAG 2.x, 0 is black and 1 is white
Perceived brightness77.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.4:1
Contrast with white9.4:1WCAG normal text: AAA
Contrast with black2.23:1WCAG normal text: Fail
Greyscale equivalent#363636
Inverted#7BDBFF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.4:1WCAG large text: AAA
Contrast with black, large text2.23:1WCAG large text: Fail
Named colours
Hue familyorange
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#006084
Analogous#84001E, #846600
Triadic#008424, #240084
Split complementary#008466, #001E84
Tetradic#1E8400, #006084, #660084
Tints, shades & saturation
Channel breakdown
R132
G36
B0
Red132 (51.8%)
Green36 (14.1%)
Blue0 (0%)
Hue16.36°
Saturation (HSL)100%
Lightness25.88%
Dominant channelRed
Hex per channelR 84 · G 24 · B 00
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