Recognised as Number
-681
- Negative
- Odd
- 3 digits
-681 is an odd 3-digit integer and the negative of 681. It has 4 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value681
Digit count3
Digit sum15
Digit product48
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 227
Distinct prime factors23, 227
Number of divisors4
Sum of divisors σ(n)912
SquarefreeYesno repeated prime factor
All divisors1, 3, 227, 6814 in total
Arithmetic
Representations
Decimal-681
Binary101010100110 bits
Octal1251
Hexadecimal2A9
Base 36IX
In wordsminus six hundred and eighty-one
Ordinalminus six hundred and eighty-first
Scientific notation-6.81 × 10^2
Engineering notation-681
In other bases
Ternary221020base 3; the most digit-efficient integer base after e: 6 digits
Quinary10211base 5; one hand: 5 digits
Septenary1662base 7: 4 digits
Nonary836base 9; each digit is two ternary digits: 3 digits
Duodecimal489base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1e1base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal11:21base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT01TT10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010101011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110101010111
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
Bytes202 a9
Gray code1111111101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110101010111two's complement
32-bit11111111111111111111110101010111two's complement
64-bit1111111111111111111111111111111111111111111111111111110101010111two's complement
One's complement0000001010101000at 16 bits, every bit flipped
Bits reversed1110101010111111at 16 bits
Rotated left by 11111101010101111at 16 bits, wrapping
Shifted left by 1-10101010010= -1,362, no wrap
Shifted right by 1-101010101= -340, discarding the low bit
These bits as a double3.36458705 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-681 to the power 2463,761
-681 to the power 3-315,821,241
-681 to the power 4215,074,265,121
-681 to the power 5-146,465,574,547,401
First ten multiples-681, -1,362, -2,043, -2,724, -3,405, -4,086, -4,767, -5,448, -6,129, -6,810
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
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 7No, remainder 2
Divisible by 8No, remainder 1
Divisible by 9No, remainder 6
Divisible by 10No, remainder 1
Divisible by 11No, remainder 10
Divisible by 12No, remainder 9
Divisible by 100No, remainder 81
As a percentage & fraction
As a percentage-68,100%
-681% as a decimal-6.81
-681% of 100-681
-681% of 1,000-6,810
As a fraction of 100-681/100
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