Recognised as Number
-666
- Negative
- Even
- 3 digits
-666 is an even 3-digit integer and the negative of 666. It has 12 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value666
Digit count3
Digit sum18
Digit product216
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 × 2 × 3^2 × 37
Distinct prime factors32, 3, 37
Number of divisors12
Sum of divisors σ(n)1,482
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 66612 in total
Arithmetic
Representations
Decimal-666
Binary101001101010 bits
Octal1232
Hexadecimal29A
Base 36II
In wordsminus six hundred and sixty-six
Ordinalminus six hundred and sixty-sixth
Scientific notation-6.66 × 10^2
Engineering notation-666
In other bases
Ternary220200base 3; the most digit-efficient integer base after e: 6 digits
Quinary10131base 5; one hand: 5 digits
Septenary1641base 7: 4 digits
Nonary820base 9; each digit is two ternary digits: 3 digits
Duodecimal476base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1d6base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal11:6base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT01T100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010111010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110101100110
Bit length10 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits5within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes202 9a
Gray code1111010111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110101100110two's complement
32-bit11111111111111111111110101100110two's complement
64-bit1111111111111111111111111111111111111111111111111111110101100110two's complement
One's complement0000001010011001at 16 bits, every bit flipped
Bits reversed0110011010111111at 16 bits
Rotated left by 11111101011001101at 16 bits, wrapping
Shifted left by 1-10100110100= -1,332, no wrap
Shifted right by 1-101001101= -333, discarding the low bit
These bits as a double3.2904772 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-666 to the power 2443,556
-666 to the power 3-295,408,296
-666 to the power 4196,741,925,136
-666 to the power 5-131,030,122,140,576
First ten multiples-666, -1,332, -1,998, -2,664, -3,330, -3,996, -4,662, -5,328, -5,994, -6,660
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 1
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8No, remainder 2
Divisible by 9Yes
Divisible by 10No, remainder 6
Divisible by 11No, remainder 6
Divisible by 12No, remainder 6
Divisible by 100No, remainder 66
As a percentage & fraction
As a percentage-66,600%
-666% as a decimal-6.66
-666% of 100-666
-666% of 1,000-6,660
As a fraction of 100-666/100
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