Recognised as Number
-137,993
- Negative
- Odd
- 6 digits
-137,993 is an odd 6-digit integer and the negative of 137,993. It has 2 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value137,993
Digit count6
Digit sum32
Digit product5,103
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 137,993
Distinct prime factors1137,993
Number of divisors2
Sum of divisors σ(n)137,994
SquarefreeYesno repeated prime factor
All divisors1, 137,9932 in total
Arithmetic
Representations
Decimal-137,993
Binary10000110110000100118 bits
Octal415411
Hexadecimal21B09
Base 362YH5
In wordsminus one hundred and thirty-seven thousand, nine hundred and ninety-three
Ordinalminus one hundred and thirty-seven thousand, nine hundred and ninety-third
Scientific notation-1.37993 × 10^5
Engineering notation-137.993 × 10^3
In other bases
Ternary21000021212base 3; the most digit-efficient integer base after e: 11 digits
Quinary13403433base 5; one hand: 8 digits
Septenary1113212base 7: 7 digits
Nonary230255base 9; each digit is two ternary digits: 6 digits
Duodecimal67a35base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalh4jdbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal38:19:53base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT1T000T01011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100010010100001011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111011110010011110111
Bit length18 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits11within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 17worth 131,072
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes302 1b 09
Gray code110001011010001101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111011110010011110111two's complement
64-bit1111111111111111111111111111111111111111111111011110010011110111two's complement
One's complement00000000000000100001101100001000at 32 bits, every bit flipped
Bits reversed11101111001001111011111111111111at 32 bits
Rotated left by 111111111111110111100100111101111at 32 bits, wrapping
Shifted left by 1-1000011011000010010= -275,986, no wrap
Shifted right by 1-10000110110000101= -68,996, discarding the low bit
These bits as a double6.81776007 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-137,993 to the power 219,042,068,049
-137,993 to the power 3-2,627,672,096,285,657
-137,993 to the power 4362,600,355,582,746,666,401
-137,993 to the power 5-50,036,310,867,929,960,736,673,193
First ten multiples-137,993, -275,986, -413,979, -551,972, -689,965, -827,958, -965,951, -1,103,944, -1,241,937, -1,379,930
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 2
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 3
Divisible by 11No, remainder 9
Divisible by 12No, remainder 5
Divisible by 100No, remainder 93
As a percentage & fraction
As a percentage-13,799,300%
-137,993% as a decimal-1,379.93
-137,993% of 100-137,993
-137,993% of 1,000-1,379,930
As a fraction of 100-137,993/100
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