Recognised as Number
-42,423
- Negative
- Odd
- 5 digits
-42,423 is an odd 5-digit integer and the negative of 42,423. It has 8 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value42,423
Digit count5
Digit sum15
Digit product192
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 79 × 179
Distinct prime factors33, 79, 179
Number of divisors8
Sum of divisors σ(n)57,600
SquarefreeYesno repeated prime factor
All divisors1, 3, 79, 179, 237, 537, 14,141, 42,4238 in total
Arithmetic
Representations
Decimal-42,423
Binary101001011011011116 bits
Octal122667
HexadecimalA5B7
Base 36WQF
In wordsminus forty-two thousand, four hundred and twenty-three
Ordinalminus forty-two thousand, four hundred and twenty-third
Scientific notation-4.2423 × 10^4
Engineering notation-42.423 × 10^3
In other bases
Ternary2011012020base 3; the most digit-efficient integer base after e: 10 digits
Quinary2324143base 5; one hand: 7 digits
Septenary234453base 7: 6 digits
Nonary64166base 9; each digit is two ternary digits: 5 digits
Duodecimal20673base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal5613base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal11:47:3base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10TTT11T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010111001011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111110101101001001001
Bit length16 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits6within that length
Bit parityeven10 set bits, so even; not the same as the number itself being odd
Highest set bitbit 15worth 32,768
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes2a5 b7
Gray code1111011101101100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111110101101001001001two's complement
64-bit1111111111111111111111111111111111111111111111110101101001001001two's complement
One's complement00000000000000001010010110110110at 32 bits, every bit flipped
Bits reversed10010010010110101111111111111111at 32 bits
Rotated left by 111111111111111101011010010010011at 32 bits, wrapping
Shifted left by 1-10100101101101110= -84,846, no wrap
Shifted right by 1-101001011011100= -21,211, discarding the low bit
These bits as a double2.09597469 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-42,423 to the power 21,799,710,929
-42,423 to the power 3-76,349,136,740,967
-42,423 to the power 43,238,959,427,962,043,041
-42,423 to the power 5-137,406,375,812,433,751,928,343
First ten multiples-42,423, -84,846, -127,269, -169,692, -212,115, -254,538, -296,961, -339,384, -381,807, -424,230
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 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 7
Divisible by 9No, remainder 6
Divisible by 10No, remainder 3
Divisible by 11No, remainder 7
Divisible by 12No, remainder 3
Divisible by 100No, remainder 23
As a percentage & fraction
As a percentage-4,242,300%
-42,423% as a decimal-424.23
-42,423% of 100-42,423
-42,423% of 1,000-424,230
As a fraction of 100-42,423/100
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