Recognised as Number
-1,323
- Negative
- Odd
- 4 digits
-1,323 is an odd 4-digit integer and the negative of 1,323. It has 12 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,323
Digit count4
Digit sum9
Digit product18
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3^3 × 7^2
Distinct prime factors23, 7
Number of divisors12
Sum of divisors σ(n)2,280
SquarefreeNohas a repeated prime factor
All divisors1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1,32312 in total
Arithmetic
Representations
Decimal-1,323
Binary1010010101111 bits
Octal2453
Hexadecimal52B
Base 3610R
In wordsminus one thousand, three hundred and twenty-three
Ordinalminus one thousand, three hundred and twenty-third
Scientific notation-1.323 × 10^3
Engineering notation-1.323 × 10^3
In other bases
Ternary1211000base 3; the most digit-efficient integer base after e: 7 digits
Quinary20243base 5; one hand: 5 digits
Septenary3600base 7: 4 digits
Nonary1730base 9; each digit is two ternary digits: 4 digits
Duodecimal923base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal363base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:3base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT11TT000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111111010101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101011010101
Bit length11 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits5within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes205 2b
Gray code11110111110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101011010101two's complement
32-bit11111111111111111111101011010101two's complement
64-bit1111111111111111111111111111111111111111111111111111101011010101two's complement
One's complement0000010100101010at 16 bits, every bit flipped
Bits reversed1010101101011111at 16 bits
Rotated left by 11111010110101011at 16 bits, wrapping
Shifted left by 1-101001010110= -2,646, no wrap
Shifted right by 1-1010010110= -661, discarding the low bit
These bits as a double6.53648849 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,323 to the power 21,750,329
-1,323 to the power 3-2,315,685,267
-1,323 to the power 43,063,651,608,241
-1,323 to the power 5-4,053,211,077,702,843
First ten multiples-1,323, -2,646, -3,969, -5,292, -6,615, -7,938, -9,261, -10,584, -11,907, -13,230
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7Yes
Divisible by 8No, remainder 3
Divisible by 9Yes
Divisible by 10No, remainder 3
Divisible by 11No, remainder 3
Divisible by 12No, remainder 3
Divisible by 100No, remainder 23
As a percentage & fraction
As a percentage-132,300%
-1,323% as a decimal-13.23
-1,323% of 100-1,323
-1,323% of 1,000-13,230
As a fraction of 100-1,323/100
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