Recognised as Number
-2,359
- Negative
- Odd
- 4 digits
-2,359 is an odd 4-digit integer and the negative of 2,359. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value2,359
Digit count4
Digit sum19
Digit product270
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 7 × 337
Distinct prime factors27, 337
Number of divisors4
Sum of divisors σ(n)2,704
SquarefreeYesno repeated prime factor
All divisors1, 7, 337, 2,3594 in total
Arithmetic
Representations
Decimal-2,359
Binary10010011011112 bits
Octal4467
Hexadecimal937
Base 361TJ
In wordsminus two thousand, three hundred and fifty-nine
Ordinalminus two thousand, three hundred and fifty-ninth
Scientific notation-2.359 × 10^3
Engineering notation-2.359 × 10^3
In other bases
Ternary10020101base 3; the most digit-efficient integer base after e: 8 digits
Quinary33414base 5; one hand: 5 digits
Septenary6610base 7: 4 digits
Nonary3211base 9; each digit is two ternary digits: 4 digits
Duodecimal1447base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal5hjbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal39:19base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T10T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary101111011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111011011001001
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 11worth 2,048
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes209 37
Gray code110110101100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111011011001001two's complement
32-bit11111111111111111111011011001001two's complement
64-bit1111111111111111111111111111111111111111111111111111011011001001two's complement
One's complement0000100100110110at 16 bits, every bit flipped
Bits reversed1001001101101111at 16 bits
Rotated left by 11110110110010011at 16 bits, wrapping
Shifted left by 1-1001001101110= -4,718, no wrap
Shifted right by 1-10010011100= -1,179, discarding the low bit
These bits as a double1.16550086 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-2,359 to the power 25,564,881
-2,359 to the power 3-13,127,554,279
-2,359 to the power 430,967,900,544,161
-2,359 to the power 5-73,053,277,383,675,799
First ten multiples-2,359, -4,718, -7,077, -9,436, -11,795, -14,154, -16,513, -18,872, -21,231, -23,590
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7Yes
Divisible by 8No, remainder 7
Divisible by 9No, remainder 1
Divisible by 10No, remainder 9
Divisible by 11No, remainder 5
Divisible by 12No, remainder 7
Divisible by 100No, remainder 59
As a percentage & fraction
As a percentage-235,900%
-2,359% as a decimal-23.59
-2,359% of 100-2,359
-2,359% of 1,000-23,590
As a fraction of 100-2,359/100
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