Recognised as Number
-1,073
- Negative
- Odd
- 4 digits
-1,073 is an odd 4-digit integer and the negative of 1,073. It has 4 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,073
Digit count4
Digit sum11
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 29 × 37
Distinct prime factors229, 37
Number of divisors4
Sum of divisors σ(n)1,140
SquarefreeYesno repeated prime factor
All divisors1, 29, 37, 1,0734 in total
Arithmetic
Representations
Decimal-1,073
Binary1000011000111 bits
Octal2061
Hexadecimal431
Base 36TT
In wordsminus one thousand and seventy-three
Ordinalminus one thousand and seventy-third
Scientific notation-1.073 × 10^3
Engineering notation-1.073 × 10^3
In other bases
Ternary1110202base 3; the most digit-efficient integer base after e: 7 digits
Quinary13243base 5; one hand: 5 digits
Septenary3062base 7: 4 digits
Nonary1422base 9; each digit is two ternary digits: 4 digits
Duodecimal755base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2ddbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal17:53base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTTTT1T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110011010011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101111001111
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes204 31
Gray code11000101001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101111001111two's complement
32-bit11111111111111111111101111001111two's complement
64-bit1111111111111111111111111111111111111111111111111111101111001111two's complement
One's complement0000010000110000at 16 bits, every bit flipped
Bits reversed1111001111011111at 16 bits
Rotated left by 11111011110011111at 16 bits, wrapping
Shifted left by 1-100001100010= -2,146, no wrap
Shifted right by 1-1000011001= -536, discarding the low bit
These bits as a double5.30132438 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,073 to the power 21,151,329
-1,073 to the power 3-1,235,376,017
-1,073 to the power 41,325,558,466,241
-1,073 to the power 5-1,422,324,234,276,593
First ten multiples-1,073, -2,146, -3,219, -4,292, -5,365, -6,438, -7,511, -8,584, -9,657, -10,730
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 2
Divisible by 8No, remainder 1
Divisible by 9No, remainder 2
Divisible by 10No, remainder 3
Divisible by 11No, remainder 6
Divisible by 12No, remainder 5
Divisible by 100No, remainder 73
As a percentage & fraction
As a percentage-107,300%
-1,073% as a decimal-10.73
-1,073% of 100-1,073
-1,073% of 1,000-10,730
As a fraction of 100-1,073/100
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