Recognised as Number
400,313
- Positive
- Odd
- Prime
- 6 digits
400,313 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value400,313
Digit count6
Digit sum11
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation400,313
Distinct prime factors1400,313
Number of divisors2
Sum of divisors σ(n)400,314
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)400,312integers below n that share no factor with it
Carmichael function λ(n)400,312the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)−11 distinct prime factor, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 400,3132 in total
Arithmetic
Representations
Decimal400,313
Binary110000110111011100119 bits
Octal1415671
Hexadecimal61BB9
Base 368KVT
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand, three hundred and thirteen
Ordinalfour hundred thousand, three hundred and thirteenth
Scientific notation4.00313 × 10^5
Engineering notation400.313 × 10^3
In other bases
Ternary202100010102base 3; the most digit-efficient integer base after e: 12 digits
Quinary100302223base 5; one hand: 9 digits
Septenary3255044base 7: 7 digits
Nonary670112base 9; each digit is two ternary digits: 6 digits
Duodecimal1737b5base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a0fdbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:11:53base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T10001011Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110110011001001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001101110111001
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 1b b9
Gray code1010001011001100101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001101110111001
64-bit0000000000000000000000000000000000000000000001100001101110111001
One's complement11111111111110011110010001000110at 32 bits, every bit flipped
Bits reversed10011101110110000110000000000000at 32 bits
Rotated left by 100000000000011000011011101110010at 32 bits, wrapping
Shifted left by 111000011011101110010= 800,626, no wrap
Shifted right by 1110000110111011100= 200,156, discarding the low bit
These bits as a double1.97780901 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
400,313 to the power 2160,250,497,969
400,313 to the power 364,150,357,593,464,297
400,313 to the power 425,680,222,099,312,473,124,961
400,313 to the power 510,280,126,749,242,074,054,072,512,793
First ten multiples400,313, 800,626, 1,200,939, 1,601,252, 2,001,565, 2,401,878, 2,802,191, 3,202,504, 3,602,817, 4,003,130
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9No, remainder 2
Divisible by 10No, remainder 3
Divisible by 11No, remainder 1
Divisible by 12No, remainder 5
Divisible by 100No, remainder 13
Collatz (3n + 1) trajectory
Steps to reach 1161the total stopping time
Highest value reached1,351,0603× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,313 → 1,200,940 → 600,470 → 300,235 → 900,706 → 450,353 → 1,351,060 → 675,530 → 337,765 → 1,013,296 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,031,300%
400,313% as a decimal4,003.13
400,313% of 100400,313
400,313% of 1,0004,003,130
As a fraction of 100400,313/100
Read another way
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Derived from 400,313
Also reads as
#400313 (colour)
- #400313
- Red
- Dark
- Nearest: Black
#400313 is a red with RGB values 64, 3, 19 and HSL 344°, 91%, 13%. 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
#400313#400313
HEX#400313
RGBrgb(64, 3, 19)
RGB (0–1)0.251, 0.0118, 0.0745
RGB percentages25.1%, 1.2%, 7.5%
HSLhsl(344.3, 91%, 13.1%)
HSV / HSBhsv(344.3, 95.3%, 25.1%)
CMYK0%, 95.3%, 70.3%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,195,091
CSS custom property--colour: #400313;
Brightness & contrast
Relative luminance0.01202WCAG 2.x, 0 is black and 1 is white
Perceived brightness35.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.93:1
Contrast with white16.93:1WCAG normal text: AAA
Contrast with black1.24:1WCAG normal text: Fail
Greyscale equivalent#111111
Inverted#BFFCEC
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.93:1WCAG 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#034030
Analogous#400331, #401203
Triadic#134003, #031340
Split complementary#034012, #033140
Tetradic#314003, #034030, #120340
Tints, shades & saturation
Channel breakdown
R64
G3
B19
Red64 (25.1%)
Green3 (1.2%)
Blue19 (7.5%)
Hue344.26°
Saturation (HSL)91.04%
Lightness13.14%
Dominant channelRed
Hex per channelR 40 · G 03 · B 13
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