Recognised as Number
-5,504
- Negative
- Even
- 4 digits
-5,504 is an even 4-digit integer and the negative of 5,504. It has 16 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value5,504
Digit count4
Digit sum14
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 × 2^7 × 43
Distinct prime factors22, 43
Number of divisors16
Sum of divisors σ(n)11,220
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1,376, 2,752, 5,50416 in total
Arithmetic
Previous number-5,505
Next number-5,503
Double-11,008
Half-2,752
Square30,294,016
Cube-166,738,264,064
Cube root-17.65601985≈
Negation5,504
Reciprocal-0.000181686≈
Representations
Decimal-5,504
Binary101011000000013 bits
Octal12600
Hexadecimal1580
Base 3648W
In wordsminus five thousand, five hundred and four
Ordinalminus five thousand, five hundred and fourth
Scientific notation-5.504 × 10^3
Engineering notation-5.504 × 10^3
In other bases
Ternary21112212base 3; the most digit-efficient integer base after e: 8 digits
Quinary134004base 5; one hand: 6 digits
Septenary22022base 7: 5 digits
Nonary7485base 9; each digit is two ternary digits: 4 digits
Duodecimal3228base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimaldf4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:31:44base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT01110011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11111110000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110101010000000
Bit length13 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits9within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 77 trailing zeros
Power of twoNo
Bytes215 80
Gray code1111101000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1110101010000000two's complement
32-bit11111111111111111110101010000000two's complement
64-bit1111111111111111111111111111111111111111111111111110101010000000two's complement
One's complement0001010101111111at 16 bits, every bit flipped
Bits reversed0000000101010111at 16 bits
Rotated left by 11101010100000001at 16 bits, wrapping
Shifted left by 1-10101100000000= -11,008, no wrap
Shifted right by 1-101011000000= -2,752, discarding the low bit
These bits as a double2.71933731 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-5,504 to the power 230,294,016
-5,504 to the power 3-166,738,264,064
-5,504 to the power 4917,727,405,408,256
-5,504 to the power 5-5,051,171,639,367,041,024
First ten multiples-5,504, -11,008, -16,512, -22,016, -27,520, -33,024, -38,528, -44,032, -49,536, -55,040
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
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 2
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10No, remainder 4
Divisible by 11No, remainder 4
Divisible by 12No, remainder 8
Divisible by 100No, remainder 4
As a percentage & fraction
As a percentage-550,400%
-5,504% as a decimal-55.04
-5,504% of 100-5,504
-5,504% of 1,000-55,040
As a fraction of 100-5,504/100
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