Recognised as Number
-938
- Negative
- Even
- 3 digits
-938 is an even 3-digit integer and the negative of 938. It has 8 divisors and a digital root of 2.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value938
Digit count3
Digit sum20
Digit product216
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 7 × 67
Distinct prime factors32, 7, 67
Number of divisors8
Sum of divisors σ(n)1,632
SquarefreeYesno repeated prime factor
All divisors1, 2, 7, 14, 67, 134, 469, 9388 in total
Arithmetic
Representations
Decimal-938
Binary111010101010 bits
Octal1652
Hexadecimal3AA
Base 36Q2
In wordsminus nine hundred and thirty-eight
Ordinalminus nine hundred and thirty-eighth
Scientific notation-9.38 × 10^2
Engineering notation-938
In other bases
Ternary1021202base 3; the most digit-efficient integer base after e: 7 digits
Quinary12223base 5; one hand: 5 digits
Septenary2510base 7: 4 digits
Nonary1252base 9; each digit is two ternary digits: 4 digits
Duodecimal662base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal26ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal15:38base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT011T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110101010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110001010110
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes203 aa
Gray code1001111111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110001010110two's complement
32-bit11111111111111111111110001010110two's complement
64-bit1111111111111111111111111111111111111111111111111111110001010110two's complement
One's complement0000001110101001at 16 bits, every bit flipped
Bits reversed0110101000111111at 16 bits
Rotated left by 11111100010101101at 16 bits, wrapping
Shifted left by 1-11101010100= -1,876, no wrap
Shifted right by 1-111010101= -469, discarding the low bit
These bits as a double4.63433576 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-938 to the power 2879,844
-938 to the power 3-825,293,672
-938 to the power 4774,125,464,336
-938 to the power 5-726,129,685,547,168
First ten multiples-938, -1,876, -2,814, -3,752, -4,690, -5,628, -6,566, -7,504, -8,442, -9,380
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7Yes
Divisible by 8No, remainder 2
Divisible by 9No, remainder 2
Divisible by 10No, remainder 8
Divisible by 11No, remainder 3
Divisible by 12No, remainder 2
Divisible by 100No, remainder 38
As a percentage & fraction
As a percentage-93,800%
-938% as a decimal-9.38
-938% of 100-938
-938% of 1,000-9,380
As a fraction of 100-938/100
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