Recognised as Number
-1,004
- Negative
- Even
- 4 digits
-1,004 is an even 4-digit integer and the negative of 1,004. It has 6 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,004
Digit count4
Digit sum5
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 251
Distinct prime factors22, 251
Number of divisors6
Sum of divisors σ(n)1,764
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 251, 502, 1,0046 in total
Arithmetic
Representations
Decimal-1,004
Binary111110110010 bits
Octal1754
Hexadecimal3EC
Base 36RW
In wordsminus one thousand and four
Ordinalminus one thousand and fourth
Scientific notation-1.004 × 10^3
Engineering notation-1.004 × 10^3
In other bases
Ternary1101012base 3; the most digit-efficient integer base after e: 7 digits
Quinary13004base 5; one hand: 5 digits
Septenary2633base 7: 4 digits
Nonary1335base 9; each digit is two ternary digits: 4 digits
Duodecimal6b8base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2a4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:44base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT0TT11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110000010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110000010100
Bit length10 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits3within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 ec
Gray code1000011010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110000010100two's complement
32-bit11111111111111111111110000010100two's complement
64-bit1111111111111111111111111111111111111111111111111111110000010100two's complement
One's complement0000001111101011at 16 bits, every bit flipped
Bits reversed0010100000111111at 16 bits
Rotated left by 11111100000101001at 16 bits, wrapping
Shifted left by 1-11111011000= -2,008, no wrap
Shifted right by 1-111110110= -502, discarding the low bit
These bits as a double4.96041908 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,004 to the power 21,008,016
-1,004 to the power 3-1,012,048,064
-1,004 to the power 41,016,096,256,256
-1,004 to the power 5-1,020,160,641,281,024
First ten multiples-1,004, -2,008, -3,012, -4,016, -5,020, -6,024, -7,028, -8,032, -9,036, -10,040
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 2
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 5
Divisible by 10No, remainder 4
Divisible by 11No, remainder 3
Divisible by 12No, remainder 8
Divisible by 100No, remainder 4
As a percentage & fraction
As a percentage-100,400%
-1,004% as a decimal-10.04
-1,004% of 100-1,004
-1,004% of 1,000-10,040
As a fraction of 100-1,004/100
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