Recognised as Number
-1,371
- Negative
- Odd
- 4 digits
-1,371 is an odd 4-digit integer and the negative of 1,371. It has 4 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,371
Digit count4
Digit sum12
Digit product21
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 457
Distinct prime factors23, 457
Number of divisors4
Sum of divisors σ(n)1,832
SquarefreeYesno repeated prime factor
All divisors1, 3, 457, 1,3714 in total
Arithmetic
Representations
Decimal-1,371
Binary1010101101111 bits
Octal2533
Hexadecimal55B
Base 36123
In wordsminus one thousand, three hundred and seventy-one
Ordinalminus one thousand, three hundred and seventy-first
Scientific notation-1.371 × 10^3
Engineering notation-1.371 × 10^3
In other bases
Ternary1212210base 3; the most digit-efficient integer base after e: 7 digits
Quinary20441base 5; one hand: 5 digits
Septenary3666base 7: 4 digits
Nonary1783base 9; each digit is two ternary digits: 4 digits
Duodecimal963base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal38bbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:51base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT10101T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111111100101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101010100101
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 5b
Gray code11111110110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101010100101two's complement
32-bit11111111111111111111101010100101two's complement
64-bit1111111111111111111111111111111111111111111111111111101010100101two's complement
One's complement0000010101011010at 16 bits, every bit flipped
Bits reversed1010010101011111at 16 bits
Rotated left by 11111010101001011at 16 bits, wrapping
Shifted left by 1-101010110110= -2,742, no wrap
Shifted right by 1-1010101110= -685, discarding the low bit
These bits as a double6.77364 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,371 to the power 21,879,641
-1,371 to the power 3-2,576,987,811
-1,371 to the power 43,533,050,288,881
-1,371 to the power 5-4,843,811,946,055,851
First ten multiples-1,371, -2,742, -4,113, -5,484, -6,855, -8,226, -9,597, -10,968, -12,339, -13,710
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 6
Divisible by 8No, remainder 3
Divisible by 9No, remainder 3
Divisible by 10No, remainder 1
Divisible by 11No, remainder 7
Divisible by 12No, remainder 3
Divisible by 100No, remainder 71
As a percentage & fraction
As a percentage-137,100%
-1,371% as a decimal-13.71
-1,371% of 100-1,371
-1,371% of 1,000-13,710
As a fraction of 100-1,371/100
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