Recognised as Number
441
- Positive
- Odd
- Composite
- Perfect square
- 3 digits
441 is an odd 3-digit integer and a composite number. It has 9 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value441
Digit count3
Digit sum9
Digit product16
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 21²
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 7^2
Distinct prime factors23, 7
Number of divisors9
Sum of divisors σ(n)741
Aliquot sum300sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)252integers below n that share no factor with it
Carmichael function λ(n)42the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 252
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 7, 9, 21, 49, 63, 147, 4419 in total
Arithmetic
Representations
Decimal441
Binary1101110019 bits
Octal671
Hexadecimal1B9
Base 36C9
Roman numeralCDXLI
In wordsfour hundred and forty-one
Ordinalfour hundred and forty-first
Scientific notation4.41 × 10^2
Engineering notation441
In other bases
Ternary121100base 3; the most digit-efficient integer base after e: 6 digits
Quinary3231base 5; one hand: 4 digits
Septenary1200base 7: 4 digits
Nonary540base 9; each digit is two ternary digits: 3 digits
Duodecimal309base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal121base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal7:21base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT1100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011001001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000110111001
Bit length9 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits3within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 b9
Gray code101100101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000000110111001
32-bit00000000000000000000000110111001
64-bit0000000000000000000000000000000000000000000000000000000110111001
One's complement1111111001000110at 16 bits, every bit flipped
Bits reversed1001110110000000at 16 bits
Rotated left by 10000001101110010at 16 bits, wrapping
Shifted left by 11101110010= 882, no wrap
Shifted right by 111011100= 220, discarding the low bit
These bits as a double2.1788295 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
441 to the power 2194,481
441 to the power 385,766,121
441 to the power 437,822,859,361
441 to the power 516,679,880,978,201
First ten multiples441, 882, 1,323, 1,764, 2,205, 2,646, 3,087, 3,528, 3,969, 4,410
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 1
Divisible by 12No, remainder 9
Divisible by 100No, remainder 41
Collatz (3n + 1) trajectory
Steps to reach 127the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps441 → 1,324 → 662 → 331 → 994 → 497 → 1,492 → 746 → 373 → 1,120 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage44,100%
441% as a decimal4.41
441% of 100441
441% of 1,0004,410
As a fraction of 100441/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 441
Other readings
Also reads as
#444411 (colour)
- #444411
- Yellow
- Dark
- Nearest: Dark olivegreen
#444411 is a yellow with RGB values 68, 68, 17 and HSL 60°, 60%, 17%. It is a dark colour, so white text on it reaches 10.1:1 contrast (AAA for normal text). The nearest named colour is Dark olivegreen.
Colour values
#444411#444411
HEX#444411
HEX (short)#441
RGBrgb(68, 68, 17)
RGB (0–1)0.2667, 0.2667, 0.0667
RGB percentages26.7%, 26.7%, 6.7%
HSLhsl(60, 60%, 16.7%)
HSV / HSBhsv(60, 75%, 26.7%)
CMYK0%, 0%, 75%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,473,873
CSS custom property--colour: #444411;
Brightness & contrast
Relative luminance0.05404WCAG 2.x, 0 is black and 1 is white
Perceived brightness64.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.09:1
Contrast with white10.09:1WCAG normal text: AAA
Contrast with black2.08:1WCAG normal text: Fail
Greyscale equivalent#404040
Inverted#BBBBEE
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text10.09:1WCAG large text: AAA
Contrast with black, large text2.08:1WCAG large text: Fail
Named colours
Hue familyyellow
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#111144
Analogous#442A11, #2A4411
Triadic#114444, #441144
Split complementary#112A44, #2A1144
Tetradic#11442A, #111144, #44112A
Tints, shades & saturation
Channel breakdown
R68
G68
B17
Red68 (26.7%)
Green68 (26.7%)
Blue17 (6.7%)
Hue60°
Saturation (HSL)60%
Lightness16.67%
Dominant channelRed and Green
Hex per channelR 44 · G 44 · B 11
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page