Recognised as Number
-6,704
- Negative
- Even
- 4 digits
-6,704 is an even 4-digit integer and the negative of 6,704. It has 10 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value6,704
Digit count4
Digit sum17
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^4 × 419
Distinct prime factors22, 419
Number of divisors10
Sum of divisors σ(n)13,020
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 419, 838, 1,676, 3,352, 6,70410 in total
Arithmetic
Previous number-6,705
Next number-6,703
Double-13,408
Half-3,352
Square44,943,616
Cube-301,302,001,664
Cube root-18.855787213≈
Negation6,704
Reciprocal-0.0001491647≈
Representations
Decimal-6,704
Binary110100011000013 bits
Octal15060
Hexadecimal1A30
Base 36568
In wordsminus six thousand, seven hundred and four
Ordinalminus six thousand, seven hundred and fourth
Scientific notation-6.704 × 10^3
Engineering notation-6.704 × 10^3
In other bases
Ternary100012022base 3; the most digit-efficient integer base after e: 9 digits
Quinary203304base 5; one hand: 6 digits
Septenary25355base 7: 5 digits
Nonary10168base 9; each digit is two ternary digits: 5 digits
Duodecimal3a68base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalgf4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:51:44base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT00T11T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11101011010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110010111010000
Bit length13 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits8within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes21a 30
Gray code1011100101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1110010111010000two's complement
32-bit11111111111111111110010111010000two's complement
64-bit1111111111111111111111111111111111111111111111111110010111010000two's complement
One's complement0001101000101111at 16 bits, every bit flipped
Bits reversed0000101110100111at 16 bits
Rotated left by 11100101110100001at 16 bits, wrapping
Shifted left by 1-11010001100000= -13,408, no wrap
Shifted right by 1-110100011000= -3,352, discarding the low bit
These bits as a double3.31221609 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-6,704 to the power 244,943,616
-6,704 to the power 3-301,302,001,664
-6,704 to the power 42,019,928,619,155,456
-6,704 to the power 5-13,541,601,462,818,177,024
First ten multiples-6,704, -13,408, -20,112, -26,816, -33,520, -40,224, -46,928, -53,632, -60,336, -67,040
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 5
Divisible by 8Yes
Divisible by 9No, remainder 8
Divisible by 10No, remainder 4
Divisible by 11No, remainder 5
Divisible by 12No, remainder 8
Divisible by 100No, remainder 4
As a percentage & fraction
As a percentage-670,400%
-6,704% as a decimal-67.04
-6,704% of 100-6,704
-6,704% of 1,000-67,040
As a fraction of 100-6,704/100
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