Recognised as Number
400,509
- Positive
- Odd
- Composite
- 6 digits
400,509 is an odd 6-digit integer and a composite number. It has 6 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value400,509
Digit count6
Digit sum18
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 44,501
Distinct prime factors23, 44,501
Number of divisors6
Sum of divisors σ(n)578,526
Aliquot sum178,017sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)267,000integers below n that share no factor with it
Carmichael function λ(n)133,500the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 267,000
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 44,501, 133,503, 400,5096 in total
Arithmetic
Representations
Decimal400,509
Binary110000111000111110119 bits
Octal1416175
Hexadecimal61C7D
Base 368L19
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand, five hundred and nine
Ordinalfour hundred thousand, five hundred and ninth
Scientific notation4.00509 × 10^5
Engineering notation400.509 × 10^3
In other bases
Ternary202100101200base 3; the most digit-efficient integer base after e: 12 digits
Quinary100304014base 5; one hand: 9 digits
Septenary3255444base 7: 7 digits
Nonary670350base 9; each digit is two ternary digits: 6 digits
Duodecimal173939base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a159base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:15:9base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T10011TT00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110110110001101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001110001111101
Bit length19 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits8within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 18worth 262,144
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes306 1c 7d
Gray code1010001001001000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001110001111101
64-bit0000000000000000000000000000000000000000000001100001110001111101
One's complement11111111111110011110001110000010at 32 bits, every bit flipped
Bits reversed10111110001110000110000000000000at 32 bits
Rotated left by 100000000000011000011100011111010at 32 bits, wrapping
Shifted left by 111000011100011111010= 801,018, no wrap
Shifted right by 1110000111000111110= 200,254, discarding the low bit
These bits as a double1.97877738 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
400,509 to the power 2160,407,459,081
400,509 to the power 364,244,631,029,072,229
400,509 to the power 425,730,552,928,822,689,364,561
400,509 to the power 510,305,318,022,969,846,494,710,961,549
First ten multiples400,509, 801,018, 1,201,527, 1,602,036, 2,002,545, 2,403,054, 2,803,563, 3,204,072, 3,604,581, 4,005,090
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 9
Divisible by 11No, remainder 10
Divisible by 12No, remainder 9
Divisible by 100No, remainder 9
Collatz (3n + 1) trajectory
Steps to reach 199the total stopping time
Highest value reached1,520,6923× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,509 → 1,201,528 → 600,764 → 300,382 → 150,191 → 450,574 → 225,287 → 675,862 → 337,931 → 1,013,794 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,050,900%
400,509% as a decimal4,005.09
400,509% of 100400,509
400,509% of 1,0004,005,090
As a fraction of 100400,509/100
Read another way
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Derived from 400,509
Also reads as
#400509 (colour)
- #400509
- Red
- Dark
- Nearest: Black
#400509 is a red with RGB values 64, 5, 9 and HSL 356°, 86%, 14%. It is a dark colour, so white text on it reaches 16.9:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#400509#400509
HEX#400509
RGBrgb(64, 5, 9)
RGB (0–1)0.251, 0.0196, 0.0353
RGB percentages25.1%, 2%, 3.5%
HSLhsl(355.9, 85.5%, 13.5%)
HSV / HSBhsv(355.9, 92.2%, 25.1%)
CMYK0%, 92.2%, 85.9%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,195,593
CSS custom property--colour: #400509;
Brightness & contrast
Relative luminance0.01218WCAG 2.x, 0 is black and 1 is white
Perceived brightness35.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.89:1
Contrast with white16.89:1WCAG normal text: AAA
Contrast with black1.24:1WCAG normal text: Fail
Greyscale equivalent#121212
Inverted#BFFAF6
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.89:1WCAG large text: AAA
Contrast with black, large text1.24:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#05403C
Analogous#400526, #401F05
Triadic#094005, #050940
Split complementary#05401F, #052640
Tetradic#264005, #05403C, #1F0540
Tints, shades & saturation
Channel breakdown
R64
G5
B9
Red64 (25.1%)
Green5 (2%)
Blue9 (3.5%)
Hue355.93°
Saturation (HSL)85.51%
Lightness13.53%
Dominant channelRed
Hex per channelR 40 · G 05 · B 09
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