Recognised as Number
400,335
- Positive
- Odd
- Composite
- 6 digits
400,335 is an odd 6-digit integer and a composite number. It has 16 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value400,335
Digit count6
Digit sum15
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 5 × 13 × 2,053
Distinct prime factors43, 5, 13, 2,053
Number of divisors16
Sum of divisors σ(n)690,144
Aliquot sum289,809sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)196,992integers below n that share no factor with it
Carmichael function λ(n)2,052the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 196,992
Möbius function μ(n)+14 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 5, 13, 15, 39, 65, 195, 2,053, 6,159, 10,265, 26,689, 30,795, 80,067, 133,445, 400,33516 in total
Arithmetic
Representations
Decimal400,335
Binary110000110111100111119 bits
Octal1415717
Hexadecimal61BCF
Base 368KWF
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand, three hundred and thirty-five
Ordinalfour hundred thousand, three hundred and thirty-fifth
Scientific notation4.00335 × 10^5
Engineering notation400.335 × 10^3
In other bases
Ternary202100011020base 3; the most digit-efficient integer base after e: 12 digits
Quinary100302320base 5; one hand: 9 digits
Septenary3255105base 7: 7 digits
Nonary670136base 9; each digit is two ternary digits: 6 digits
Duodecimal173813base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a0gfbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:12:15base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T1000111T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110110011010011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001101111001111
Bit length19 bitsto write the magnitude
Set bits12the population count, or Hamming weight
Zero bits7within that length
Bit parityeven12 set bits, so even; 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 cf
Gray code1010001011000101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001101111001111
64-bit0000000000000000000000000000000000000000000001100001101111001111
One's complement11111111111110011110010000110000at 32 bits, every bit flipped
Bits reversed11110011110110000110000000000000at 32 bits
Rotated left by 100000000000011000011011110011110at 32 bits, wrapping
Shifted left by 111000011011110011110= 800,670, no wrap
Shifted right by 1110000110111100111= 200,167, discarding the low bit
These bits as a double1.9779177 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
400,335 to the power 2160,268,112,225
400,335 to the power 364,160,934,707,595,375
400,335 to the power 425,685,867,796,165,194,450,625
400,335 to the power 510,282,951,884,177,793,120,390,959,375
First ten multiples400,335, 800,670, 1,201,005, 1,601,340, 2,001,675, 2,402,010, 2,802,345, 3,202,680, 3,603,015, 4,003,350
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 3
Divisible by 5Yes
Divisible by 6No, remainder 3
Divisible by 7No, remainder 5
Divisible by 8No, remainder 7
Divisible by 9No, remainder 6
Divisible by 10No, remainder 5
Divisible by 11No, remainder 1
Divisible by 12No, remainder 3
Divisible by 100No, remainder 35
Collatz (3n + 1) trajectory
Steps to reach 191the total stopping time
Highest value reached4,053,40010× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,335 → 1,201,006 → 600,503 → 1,801,510 → 900,755 → 2,702,266 → 1,351,133 → 4,053,400 → 2,026,700 → 1,013,350 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,033,500%
400,335% as a decimal4,003.35
400,335% of 100400,335
400,335% of 1,0004,003,350
As a fraction of 100400,335/100
Read another way
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Derived from 400,335
Also reads as
#400335 (colour)
- #400335
- Magenta
- Dark
- Nearest: Dark slateblue
#400335 is a magenta with RGB values 64, 3, 53 and HSL 311°, 91%, 13%. It is a dark colour, so white text on it reaches 16.4:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#400335#400335
HEX#400335
RGBrgb(64, 3, 53)
RGB (0–1)0.251, 0.0118, 0.2078
RGB percentages25.1%, 1.2%, 20.8%
HSLhsl(310.8, 91%, 13.1%)
HSV / HSBhsv(310.8, 95.3%, 25.1%)
CMYK0%, 95.3%, 17.2%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,195,125
CSS custom property--colour: #400335;
Brightness & contrast
Relative luminance0.01412WCAG 2.x, 0 is black and 1 is white
Perceived brightness39.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.38:1
Contrast with white16.38:1WCAG normal text: AAA
Contrast with black1.28:1WCAG normal text: Fail
Greyscale equivalent#141414
Inverted#BFFCCA
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.38:1WCAG large text: AAA
Contrast with black, large text1.28:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#03400E
Analogous#2C0340, #400317
Triadic#354003, #033540
Split complementary#174003, #03402C
Tetradic#402C03, #03400E, #031740
Tints, shades & saturation
Channel breakdown
R64
G3
B53
Red64 (25.1%)
Green3 (1.2%)
Blue53 (20.8%)
Hue310.82°
Saturation (HSL)91.04%
Lightness13.14%
Dominant channelRed
Hex per channelR 40 · G 03 · B 35
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Harmonies
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