Recognised as Number
-969
- Negative
- Odd
- 3 digits
-969 is an odd 3-digit integer and the negative of 969. It has 8 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value969
Digit count3
Digit sum24
Digit product486
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 3 × 17 × 19
Distinct prime factors33, 17, 19
Number of divisors8
Sum of divisors σ(n)1,440
SquarefreeYesno repeated prime factor
All divisors1, 3, 17, 19, 51, 57, 323, 9698 in total
Arithmetic
Representations
Decimal-969
Binary111100100110 bits
Octal1711
Hexadecimal3C9
Base 36QX
In wordsminus nine hundred and sixty-nine
Ordinalminus nine hundred and sixty-ninth
Scientific notation-9.69 × 10^2
Engineering notation-969
In other bases
Ternary1022220base 3; the most digit-efficient integer base after e: 7 digits
Quinary12334base 5; one hand: 5 digits
Septenary2553base 7: 4 digits
Nonary1286base 9; each digit is two ternary digits: 4 digits
Duodecimal689base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal289base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:9base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT00010digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001001011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110000110111
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 c9
Gray code1000101101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110000110111two's complement
32-bit11111111111111111111110000110111two's complement
64-bit1111111111111111111111111111111111111111111111111111110000110111two's complement
One's complement0000001111001000at 16 bits, every bit flipped
Bits reversed1110110000111111at 16 bits
Rotated left by 11111100001101111at 16 bits, wrapping
Shifted left by 1-11110010010= -1,938, no wrap
Shifted right by 1-111100101= -484, discarding the low bit
These bits as a double4.78749611 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-969 to the power 2938,961
-969 to the power 3-909,853,209
-969 to the power 4881,647,759,521
-969 to the power 5-854,316,678,975,849
First ten multiples-969, -1,938, -2,907, -3,876, -4,845, -5,814, -6,783, -7,752, -8,721, -9,690
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 4
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 6
Divisible by 10No, remainder 9
Divisible by 11No, remainder 1
Divisible by 12No, remainder 9
Divisible by 100No, remainder 69
As a percentage & fraction
As a percentage-96,900%
-969% as a decimal-9.69
-969% of 100-969
-969% of 1,000-9,690
As a fraction of 100-969/100
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