Recognised as Number
-9,764
- Negative
- Even
- 4 digits
-9,764 is an even 4-digit integer and the negative of 9,764. It has 6 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value9,764
Digit count4
Digit sum26
Digit product1,512
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 2,441
Distinct prime factors22, 2,441
Number of divisors6
Sum of divisors σ(n)17,094
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 2,441, 4,882, 9,7646 in total
Arithmetic
Previous number-9,765
Next number-9,763
Double-19,528
Half-4,882
Square95,335,696
Cube-930,857,735,744
Cube root-21.373513684≈
Negation9,764
Reciprocal-0.000102417≈
Representations
Decimal-9,764
Binary1001100010010014 bits
Octal23044
Hexadecimal2624
Base 367J8
In wordsminus nine thousand, seven hundred and sixty-four
Ordinalminus nine thousand, seven hundred and sixty-fourth
Scientific notation-9.764 × 10^3
Engineering notation-9.764 × 10^3
In other bases
Ternary111101122base 3; the most digit-efficient integer base after e: 9 digits
Quinary303024base 5; one hand: 6 digits
Septenary40316base 7: 5 digits
Nonary14348base 9; each digit is two ternary digits: 5 digits
Duodecimal5798base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1484base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal2:42:44base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryTTTTT1101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10111000101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1101100111011100
Bit length14 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits9within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 13worth 8,192
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes226 24
Gray code11010100110110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1101100111011100two's complement
32-bit11111111111111111101100111011100two's complement
64-bit1111111111111111111111111111111111111111111111111101100111011100two's complement
One's complement0010011000100011at 16 bits, every bit flipped
Bits reversed0011101110011011at 16 bits
Rotated left by 11011001110111001at 16 bits, wrapping
Shifted left by 1-100110001001000= -19,528, no wrap
Shifted right by 1-1001100010010= -4,882, discarding the low bit
These bits as a double4.82405697 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-9,764 to the power 295,335,696
-9,764 to the power 3-930,857,735,744
-9,764 to the power 49,088,894,931,804,416
-9,764 to the power 5-88,743,970,114,138,317,824
First ten multiples-9,764, -19,528, -29,292, -39,056, -48,820, -58,584, -68,348, -78,112, -87,876, -97,640
Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 2
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 8
Divisible by 10No, remainder 4
Divisible by 11No, remainder 7
Divisible by 12No, remainder 8
Divisible by 100No, remainder 64
As a percentage & fraction
As a percentage-976,400%
-9,764% as a decimal-97.64
-9,764% of 100-9,764
-9,764% of 1,000-97,640
As a fraction of 100-9,764/100
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