Recognised as Number
-841
- Negative
- Odd
- Perfect square
- 3 digits
-841 is an odd 3-digit integer and the negative of 841. It has 3 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value841
Digit count3
Digit sum13
Digit product32
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 29²
Factors & divisors
Prime factorisation−1 × 29^2
Distinct prime factors129
Number of divisors3
Sum of divisors σ(n)871
SquarefreeNohas a repeated prime factor
All divisors1, 29, 8413 in total
Arithmetic
Representations
Decimal-841
Binary110100100110 bits
Octal1511
Hexadecimal349
Base 36ND
In wordsminus eight hundred and forty-one
Ordinalminus eight hundred and forty-first
Scientific notation-8.41 × 10^2
Engineering notation-841
In other bases
Ternary1011011base 3; the most digit-efficient integer base after e: 7 digits
Quinary11331base 5; one hand: 5 digits
Septenary2311base 7: 4 digits
Nonary1134base 9; each digit is two ternary digits: 4 digits
Duodecimal5a1base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal221base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal14:1base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0TT0TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111001011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110010110111
Bit length10 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits5within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 49
Gray code1011101101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110010110111two's complement
32-bit11111111111111111111110010110111two's complement
64-bit1111111111111111111111111111111111111111111111111111110010110111two's complement
One's complement0000001101001000at 16 bits, every bit flipped
Bits reversed1110110100111111at 16 bits
Rotated left by 11111100101101111at 16 bits, wrapping
Shifted left by 1-11010010010= -1,682, no wrap
Shifted right by 1-110100101= -420, discarding the low bit
These bits as a double4.15509208 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-841 to the power 2707,281
-841 to the power 3-594,823,321
-841 to the power 4500,246,412,961
-841 to the power 5-420,707,233,300,201
First ten multiples-841, -1,682, -2,523, -3,364, -4,205, -5,046, -5,887, -6,728, -7,569, -8,410
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 1
Divisible by 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9No, remainder 4
Divisible by 10No, remainder 1
Divisible by 11No, remainder 5
Divisible by 12No, remainder 1
Divisible by 100No, remainder 41
As a percentage & fraction
As a percentage-84,100%
-841% as a decimal-8.41
-841% of 100-841
-841% of 1,000-8,410
As a fraction of 100-841/100
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