Recognised as Number
-507
- Negative
- Odd
- 3 digits
-507 is an odd 3-digit integer and the negative of 507. It has 6 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value507
Digit count3
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 13^2
Distinct prime factors23, 13
Number of divisors6
Sum of divisors σ(n)732
SquarefreeNohas a repeated prime factor
All divisors1, 3, 13, 39, 169, 5076 in total
Arithmetic
Representations
Decimal-507
Binary1111110119 bits
Octal773
Hexadecimal1FB
Base 36E3
In wordsminus five hundred and seven
Ordinalminus five hundred and seventh
Scientific notation-5.07 × 10^2
Engineering notation-507
In other bases
Ternary200210base 3; the most digit-efficient integer base after e: 6 digits
Quinary4012base 5; one hand: 4 digits
Septenary1323base 7: 4 digits
Nonary623base 9; each digit is two ternary digits: 3 digits
Duodecimal363base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal157base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal8:27base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT10T1T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000000101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111000000101
Bit length9 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits1within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 fb
Gray code100000110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111000000101two's complement
32-bit11111111111111111111111000000101two's complement
64-bit1111111111111111111111111111111111111111111111111111111000000101two's complement
One's complement0000000111111010at 16 bits, every bit flipped
Bits reversed1010000001111111at 16 bits
Rotated left by 11111110000001011at 16 bits, wrapping
Shifted left by 1-1111110110= -1,014, no wrap
Shifted right by 1-11111110= -253, discarding the low bit
These bits as a double2.50491282 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-507 to the power 2257,049
-507 to the power 3-130,323,843
-507 to the power 466,074,188,401
-507 to the power 5-33,499,613,519,307
First ten multiples-507, -1,014, -1,521, -2,028, -2,535, -3,042, -3,549, -4,056, -4,563, -5,070
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 3
Divisible by 9No, remainder 3
Divisible by 10No, remainder 7
Divisible by 11No, remainder 1
Divisible by 12No, remainder 3
Divisible by 100No, remainder 7
As a percentage & fraction
As a percentage-50,700%
-507% as a decimal-5.07
-507% of 100-507
-507% of 1,000-5,070
As a fraction of 100-507/100
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