Recognised as Number
-333
- Negative
- Odd
- 3 digits
-333 is an odd 3-digit integer and the negative of 333. It has 6 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value333
Digit count3
Digit sum9
Digit product27
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 3^2 × 37
Distinct prime factors23, 37
Number of divisors6
Sum of divisors σ(n)494
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 37, 111, 3336 in total
Arithmetic
Representations
Decimal-333
Binary1010011019 bits
Octal515
Hexadecimal14D
Base 3699
In wordsminus three hundred and thirty-three
Ordinalminus three hundred and thirty-third
Scientific notation-3.33 × 10^2
Engineering notation-333
In other bases
Ternary110100base 3; the most digit-efficient integer base after e: 6 digits
Quinary2313base 5; one hand: 4 digits
Septenary654base 7: 3 digits
Nonary410base 9; each digit is two ternary digits: 3 digits
Duodecimal239base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalgdbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:33base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT0T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1111110111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111010110011
Bit length9 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits4within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 4d
Gray code111101011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111010110011two's complement
32-bit11111111111111111111111010110011two's complement
64-bit1111111111111111111111111111111111111111111111111111111010110011two's complement
One's complement0000000101001100at 16 bits, every bit flipped
Bits reversed1100110101111111at 16 bits
Rotated left by 11111110101100111at 16 bits, wrapping
Shifted left by 1-1010011010= -666, no wrap
Shifted right by 1-10100111= -166, discarding the low bit
These bits as a double1.6452386 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-333 to the power 2110,889
-333 to the power 3-36,926,037
-333 to the power 412,296,370,321
-333 to the power 5-4,094,691,316,893
First ten multiples-333, -666, -999, -1,332, -1,665, -1,998, -2,331, -2,664, -2,997, -3,330
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 3
Divisible by 11No, remainder 3
Divisible by 12No, remainder 9
Divisible by 100No, remainder 33
As a percentage & fraction
As a percentage-33,300%
-333% as a decimal-3.33
-333% of 100-333
-333% of 1,000-3,330
As a fraction of 100-333/100
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