Recognised as Number
-1,431
- Negative
- Odd
- 4 digits
-1,431 is an odd 4-digit integer and the negative of 1,431. It has 8 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,431
Digit count4
Digit sum9
Digit product12
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 × 53
Distinct prime factors23, 53
Number of divisors8
Sum of divisors σ(n)2,160
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 27, 53, 159, 477, 1,4318 in total
Arithmetic
Representations
Decimal-1,431
Binary1011001011111 bits
Octal2627
Hexadecimal597
Base 3613R
In wordsminus one thousand, four hundred and thirty-one
Ordinalminus one thousand, four hundred and thirty-first
Scientific notation-1.431 × 10^3
Engineering notation-1.431 × 10^3
In other bases
Ternary1222000base 3; the most digit-efficient integer base after e: 7 digits
Quinary21211base 5; one hand: 5 digits
Septenary4113base 7: 4 digits
Nonary1860base 9; each digit is two ternary digits: 4 digits
Duodecimal9b3base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal3bbbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal23:51base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1001000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110111001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101001101001
Bit length11 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits4within that length
Bit parityodd7 set bits, so odd; 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 97
Gray code11101011100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101001101001two's complement
32-bit11111111111111111111101001101001two's complement
64-bit1111111111111111111111111111111111111111111111111111101001101001two's complement
One's complement0000010110010110at 16 bits, every bit flipped
Bits reversed1001011001011111at 16 bits
Rotated left by 11111010011010011at 16 bits, wrapping
Shifted left by 1-101100101110= -2,862, no wrap
Shifted right by 1-1011001100= -715, discarding the low bit
These bits as a double7.07007939 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,431 to the power 22,047,761
-1,431 to the power 3-2,930,345,991
-1,431 to the power 44,193,325,113,121
-1,431 to the power 5-6,000,648,236,876,151
First ten multiples-1,431, -2,862, -4,293, -5,724, -7,155, -8,586, -10,017, -11,448, -12,879, -14,310
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 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 7
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 1
Divisible by 12No, remainder 3
Divisible by 100No, remainder 31
As a percentage & fraction
As a percentage-143,100%
-1,431% as a decimal-14.31
-1,431% of 100-1,431
-1,431% of 1,000-14,310
As a fraction of 100-1,431/100
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