Recognised as Number
-13,404
- Negative
- Even
- 5 digits
-13,404 is an even 5-digit integer and the negative of 13,404. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value13,404
Digit count5
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 3 × 1,117
Distinct prime factors32, 3, 1,117
Number of divisors12
Sum of divisors σ(n)31,304
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 1,117, 2,234, 3,351, 4,468, 6,702, 13,40412 in total
Arithmetic
Representations
Decimal-13,404
Binary1101000101110014 bits
Octal32134
Hexadecimal345C
Base 36ACC
In wordsminus thirteen thousand, four hundred and four
Ordinalminus thirteen thousand, four hundred and fourth
Scientific notation-1.3404 × 10^4
Engineering notation-13.404 × 10^3
In other bases
Ternary200101110base 3; the most digit-efficient integer base after e: 9 digits
Quinary412104base 5; one hand: 6 digits
Septenary54036base 7: 5 digits
Nonary20343base 9; each digit is two ternary digits: 5 digits
Duodecimal7910base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1da4base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal3:43:24base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT100T0TTT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101110011100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1100101110100100
Bit length14 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits7within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 13worth 8,192
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes234 5c
Gray code10111001110010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1100101110100100two's complement
32-bit11111111111111111100101110100100two's complement
64-bit1111111111111111111111111111111111111111111111111100101110100100two's complement
One's complement0011010001011011at 16 bits, every bit flipped
Bits reversed0010010111010011at 16 bits
Rotated left by 11001011101001001at 16 bits, wrapping
Shifted left by 1-110100010111000= -26,808, no wrap
Shifted right by 1-1101000101110= -6,702, discarding the low bit
These bits as a double6.62245592 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-13,404 to the power 2179,667,216
-13,404 to the power 3-2,408,259,363,264
-13,404 to the power 432,280,308,505,190,656
-13,404 to the power 5-432,685,255,203,575,553,024
First ten multiples-13,404, -26,808, -40,212, -53,616, -67,020, -80,424, -93,828, -107,232, -120,636, -134,040
Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 4
Divisible by 11No, remainder 6
Divisible by 12Yes
Divisible by 100No, remainder 4
As a percentage & fraction
As a percentage-1,340,400%
-13,404% as a decimal-134.04
-13,404% of 100-13,404
-13,404% of 1,000-134,040
As a fraction of 100-13,404/100
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