Recognised as Number
-441
- Negative
- Odd
- Perfect square
- 3 digits
-441 is an odd 3-digit integer and the negative of 441. It has 9 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
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
Factors & divisors
Prime factorisation−1 × 3^2 × 7^2
Distinct prime factors23, 7
Number of divisors9
Sum of divisors σ(n)741
SquarefreeNohas a repeated prime factor
All divisors1, 3, 7, 9, 21, 49, 63, 147, 4419 in total
Arithmetic
Representations
Decimal-441
Binary1101110019 bits
Octal671
Hexadecimal1B9
Base 36C9
In wordsminus four hundred and forty-one
Ordinalminus four hundred and forty-first
Scientific notation-4.41 × 10^2
Engineering notation-441
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 ternaryT11TT00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001011011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111001000111
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-bit1111111001000111two's complement
32-bit11111111111111111111111001000111two's complement
64-bit1111111111111111111111111111111111111111111111111111111001000111two's complement
One's complement0000000110111000at 16 bits, every bit flipped
Bits reversed1110001001111111at 16 bits
Rotated left by 11111110010001111at 16 bits, wrapping
Shifted left by 1-1101110010= -882, no wrap
Shifted right by 1-11011101= -220, discarding the low bit
These bits as a double2.1788295 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-441 to the power 2194,481
-441 to the power 3-85,766,121
-441 to the power 437,822,859,361
-441 to the power 5-16,679,880,978,201
First ten multiples-441, -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
As a percentage & fraction
As a percentage-44,100%
-441% as a decimal-4.41
-441% of 100-441
-441% of 1,000-4,410
As a fraction of 100-441/100
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