Recognised as Number
-47
- Negative
- Odd
- 2 digits
-47 is an odd 2-digit integer and the negative of 47. It has 2 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value47
Digit count2
Digit sum11
Digit product28
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 47
Distinct prime factors147
Number of divisors2
Sum of divisors σ(n)48
SquarefreeYesno repeated prime factor
All divisors1, 472 in total
Arithmetic
Representations
Decimal-47
Binary1011116 bits
Octal57
Hexadecimal2F
Base 361B
In wordsminus forty-seven
Ordinalminus forty-seventh
Scientific notation-4.7 × 10^1
Engineering notation-47
In other bases
Ternary1202base 3; the most digit-efficient integer base after e: 4 digits
Quinary142base 5; one hand: 3 digits
Septenary65base 7: 2 digits
Nonary52base 9; each digit is two ternary digits: 2 digits
Duodecimal3bbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal27base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal47base 60; Babylonian, and still how an hour and a circle are divided: 1 digit
Balanced ternaryT11T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11010001
Bit length6 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits1within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 5worth 32
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes12f
Gray code111000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit11010001two's complement
16-bit1111111111010001two's complement
32-bit11111111111111111111111111010001two's complement
64-bit1111111111111111111111111111111111111111111111111111111111010001two's complement
One's complement00101110at 8 bits, every bit flipped
Bits reversed10001011at 8 bits
Rotated left by 110100011at 8 bits, wrapping
Shifted left by 1-1011110= -94, no wrap
Shifted right by 1-11000= -23, discarding the low bit
These bits as a double2.32210854 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-47 to the power 22,209
-47 to the power 3-103,823
-47 to the power 44,879,681
-47 to the power 5-229,345,007
First ten multiples-47, -94, -141, -188, -235, -282, -329, -376, -423, -470
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 7
Divisible by 9No, remainder 2
Divisible by 10No, remainder 7
Divisible by 11No, remainder 3
Divisible by 12No, remainder 11
Divisible by 100No, remainder 47
As a percentage & fraction
As a percentage-4,700%
-47% as a decimal-0.47
-47% of 100-47
-47% of 1,000-470
As a fraction of 100-47/100
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