Recognised as Number
401,009
- Positive
- Odd
- Composite
- 6 digits
401,009 is an odd 6-digit integer and a composite number. It has 4 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value401,009
Digit count6
Digit sum14
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation7 × 57,287
Distinct prime factors27, 57,287
Number of divisors4
Sum of divisors σ(n)458,304
Aliquot sum57,295sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)343,716integers below n that share no factor with it
Carmichael function λ(n)171,858the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 343,716
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 7, 57,287, 401,0094 in total
Arithmetic
Representations
Decimal401,009
Binary110000111100111000119 bits
Octal1417161
Hexadecimal61E71
Base 368LF5
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and one thousand and nine
Ordinalfour hundred and one thousand and ninth
Scientific notation4.01009 × 10^5
Engineering notation401.009 × 10^3
In other bases
Ternary202101002012base 3; the most digit-efficient integer base after e: 12 digits
Quinary100313014base 5; one hand: 9 digits
Septenary3260060base 7: 7 digits
Nonary671065base 9; each digit is two ternary digits: 6 digits
Duodecimal174095base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a2a9base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:23:29base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T10101T1TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110001110110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001111001110001
Bit length19 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits9within that length
Bit parityeven10 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 1e 71
Gray code1010001000101001001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001111001110001
64-bit0000000000000000000000000000000000000000000001100001111001110001
One's complement11111111111110011110000110001110at 32 bits, every bit flipped
Bits reversed10001110011110000110000000000000at 32 bits
Rotated left by 100000000000011000011110011100010at 32 bits, wrapping
Shifted left by 111000011110011100010= 802,018, no wrap
Shifted right by 1110000111100111000= 200,504, discarding the low bit
These bits as a double1.98124771 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
401,009 to the power 2160,808,218,081
401,009 to the power 364,485,542,724,443,729
401,009 to the power 425,859,283,002,386,455,322,561
401,009 to the power 510,369,805,217,503,990,062,444,864,049
First ten multiples401,009, 802,018, 1,203,027, 1,604,036, 2,005,045, 2,406,054, 2,807,063, 3,208,072, 3,609,081, 4,010,090
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 4
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 9
Divisible by 11No, remainder 4
Divisible by 12No, remainder 5
Divisible by 100No, remainder 9
Collatz (3n + 1) trajectory
Steps to reach 191the total stopping time
Highest value reached1,203,0283× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps401,009 → 1,203,028 → 601,514 → 300,757 → 902,272 → 451,136 → 225,568 → 112,784 → 56,392 → 28,196 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,100,900%
401,009% as a decimal4,010.09
401,009% of 100401,009
401,009% of 1,0004,010,090
As a fraction of 100401,009/100
Read another way
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Derived from 401,009
Also reads as
#401009 (colour)
- #401009
- Red
- Dark
- Nearest: Black
#401009 is a red with RGB values 64, 16, 9 and HSL 8°, 75%, 14%. It is a dark colour, so white text on it reaches 16.2:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#401009#401009
HEX#401009
RGBrgb(64, 16, 9)
RGB (0–1)0.251, 0.0627, 0.0353
RGB percentages25.1%, 6.3%, 3.5%
HSLhsl(7.6, 75.3%, 14.3%)
HSV / HSBhsv(7.6, 85.9%, 25.1%)
CMYK0%, 75%, 85.9%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,198,409
CSS custom property--colour: #401009;
Brightness & contrast
Relative luminance0.0148WCAG 2.x, 0 is black and 1 is white
Perceived brightness37.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.2:1
Contrast with white16.2:1WCAG normal text: AAA
Contrast with black1.3:1WCAG normal text: Fail
Greyscale equivalent#1A1A1A
Inverted#BFEFF6
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text16.2:1WCAG large text: AAA
Contrast with black, large text1.3:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#093940
Analogous#40091E, #402B09
Triadic#094010, #100940
Split complementary#09402B, #091E40
Tetradic#1D4009, #093940, #2B0940
Tints, shades & saturation
Channel breakdown
R64
G16
B9
Red64 (25.1%)
Green16 (6.3%)
Blue9 (3.5%)
Hue7.64°
Saturation (HSL)75.34%
Lightness14.31%
Dominant channelRed
Hex per channelR 40 · G 10 · B 09
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