Recognised as Number
-262
- Negative
- Even
- 3 digits
-262 is an even 3-digit integer and the negative of 262. It has 4 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value262
Digit count3
Digit sum10
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 2 × 131
Distinct prime factors22, 131
Number of divisors4
Sum of divisors σ(n)396
SquarefreeYesno repeated prime factor
All divisors1, 2, 131, 2624 in total
Arithmetic
Representations
Decimal-262
Binary1000001109 bits
Octal406
Hexadecimal106
Base 367A
In wordsminus two hundred and sixty-two
Ordinalminus two hundred and sixty-second
Scientific notation-2.62 × 10^2
Engineering notation-262
In other bases
Ternary100201base 3; the most digit-efficient integer base after e: 6 digits
Quinary2022base 5; one hand: 4 digits
Septenary523base 7: 3 digits
Nonary321base 9; each digit is two ternary digits: 3 digits
Duodecimal19abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimald2base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal4:22base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T10Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100001110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111011111010
Bit length9 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits6within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes201 06
Gray code110000101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111011111010two's complement
32-bit11111111111111111111111011111010two's complement
64-bit1111111111111111111111111111111111111111111111111111111011111010two's complement
One's complement0000000100000101at 16 bits, every bit flipped
Bits reversed0101111101111111at 16 bits
Rotated left by 11111110111110101at 16 bits, wrapping
Shifted left by 1-1000001100= -524, no wrap
Shifted right by 1-10000011= -131, discarding the low bit
These bits as a double1.29445199 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-262 to the power 268,644
-262 to the power 3-17,984,728
-262 to the power 44,711,998,736
-262 to the power 5-1,234,543,668,832
First ten multiples-262, -524, -786, -1,048, -1,310, -1,572, -1,834, -2,096, -2,358, -2,620
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 6
Divisible by 9No, remainder 1
Divisible by 10No, remainder 2
Divisible by 11No, remainder 9
Divisible by 12No, remainder 10
Divisible by 100No, remainder 62
As a percentage & fraction
As a percentage-26,200%
-262% as a decimal-2.62
-262% of 100-262
-262% of 1,000-2,620
As a fraction of 100-262/100
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