Recognised as Number
-42,837
- Negative
- Odd
- 5 digits
-42,837 is an odd 5-digit integer and the negative of 42,837. It has 8 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value42,837
Digit count5
Digit sum24
Digit product1,344
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 109 × 131
Distinct prime factors33, 109, 131
Number of divisors8
Sum of divisors σ(n)58,080
SquarefreeYesno repeated prime factor
All divisors1, 3, 109, 131, 327, 393, 14,279, 42,8378 in total
Arithmetic
Representations
Decimal-42,837
Binary101001110101010116 bits
Octal123525
HexadecimalA755
Base 36X1X
In wordsminus forty-two thousand, eight hundred and thirty-seven
Ordinalminus forty-two thousand, eight hundred and thirty-seventh
Scientific notation-4.2837 × 10^4
Engineering notation-42.837 × 10^3
In other bases
Ternary2011202120base 3; the most digit-efficient integer base after e: 10 digits
Quinary2332322base 5; one hand: 7 digits
Septenary235614base 7: 6 digits
Nonary64676base 9; each digit is two ternary digits: 5 digits
Duodecimal20959base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal571hbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal11:53:57base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT1T111T0110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010100111111111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111110101100010101011
Bit length16 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits7within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 15worth 32,768
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes2a7 55
Gray code1111010011111111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111110101100010101011two's complement
64-bit1111111111111111111111111111111111111111111111110101100010101011two's complement
One's complement00000000000000001010011101010100at 32 bits, every bit flipped
Bits reversed11010101000110101111111111111111at 32 bits
Rotated left by 111111111111111101011000101010111at 32 bits, wrapping
Shifted left by 1-10100111010101010= -85,674, no wrap
Shifted right by 1-101001110101011= -21,418, discarding the low bit
These bits as a double2.11642901 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-42,837 to the power 21,835,008,569
-42,837 to the power 3-78,606,262,070,253
-42,837 to the power 43,367,256,448,303,427,761
-42,837 to the power 5-144,243,164,475,973,934,997,957
First ten multiples-42,837, -85,674, -128,511, -171,348, -214,185, -257,022, -299,859, -342,696, -385,533, -428,370
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9No, remainder 6
Divisible by 10No, remainder 7
Divisible by 11No, remainder 3
Divisible by 12No, remainder 9
Divisible by 100No, remainder 37
As a percentage & fraction
As a percentage-4,283,700%
-42,837% as a decimal-428.37
-42,837% of 100-42,837
-42,837% of 1,000-428,370
As a fraction of 100-42,837/100
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