Recognised as Number
-1,003
- Negative
- Odd
- 4 digits
-1,003 is an odd 4-digit integer and the negative of 1,003. It has 4 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,003
Digit count4
Digit sum4
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 17 × 59
Distinct prime factors217, 59
Number of divisors4
Sum of divisors σ(n)1,080
SquarefreeYesno repeated prime factor
All divisors1, 17, 59, 1,0034 in total
Arithmetic
Representations
Decimal-1,003
Binary111110101110 bits
Octal1753
Hexadecimal3EB
Base 36RV
In wordsminus one thousand and three
Ordinalminus one thousand and third
Scientific notation-1.003 × 10^3
Engineering notation-1.003 × 10^3
In other bases
Ternary1101011base 3; the most digit-efficient integer base after e: 7 digits
Quinary13003base 5; one hand: 5 digits
Septenary2632base 7: 4 digits
Nonary1334base 9; each digit is two ternary digits: 4 digits
Duodecimal6b7base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2a3base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:43base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT0T0TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110000010101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110000010101
Bit length10 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits2within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 eb
Gray code1000011110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110000010101two's complement
32-bit11111111111111111111110000010101two's complement
64-bit1111111111111111111111111111111111111111111111111111110000010101two's complement
One's complement0000001111101010at 16 bits, every bit flipped
Bits reversed1010100000111111at 16 bits
Rotated left by 11111100000101011at 16 bits, wrapping
Shifted left by 1-11111010110= -2,006, no wrap
Shifted right by 1-111110110= -501, discarding the low bit
These bits as a double4.95547843 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,003 to the power 21,006,009
-1,003 to the power 3-1,009,027,027
-1,003 to the power 41,012,054,108,081
-1,003 to the power 5-1,015,090,270,405,243
First ten multiples-1,003, -2,006, -3,009, -4,012, -5,015, -6,018, -7,021, -8,024, -9,027, -10,030
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 2
Divisible by 8No, remainder 3
Divisible by 9No, remainder 4
Divisible by 10No, remainder 3
Divisible by 11No, remainder 2
Divisible by 12No, remainder 7
Divisible by 100No, remainder 3
As a percentage & fraction
As a percentage-100,300%
-1,003% as a decimal-10.03
-1,003% of 100-1,003
-1,003% of 1,000-10,030
As a fraction of 100-1,003/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -1,003
Nerdulate something else
Nothing in mind? Surprise me · today’s page