Recognised as Number
-9,748
- Negative
- Even
- 4 digits
-9,748 is an even 4-digit integer and the negative of 9,748. It has 6 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value9,748
Digit count4
Digit sum28
Digit product2,016
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 2,437
Distinct prime factors22, 2,437
Number of divisors6
Sum of divisors σ(n)17,066
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 2,437, 4,874, 9,7486 in total
Arithmetic
Previous number-9,749
Next number-9,747
Double-19,496
Half-4,874
Square95,023,504
Cube-926,289,116,992
Cube root-21.361832571≈
Negation9,748
Reciprocal-0.0001025851≈
Representations
Decimal-9,748
Binary1001100001010014 bits
Octal23024
Hexadecimal2614
Base 367IS
In wordsminus nine thousand, seven hundred and forty-eight
Ordinalminus nine thousand, seven hundred and forty-eighth
Scientific notation-9.748 × 10^3
Engineering notation-9.748 × 10^3
In other bases
Ternary111101001base 3; the most digit-efficient integer base after e: 9 digits
Quinary302443base 5; one hand: 6 digits
Septenary40264base 7: 5 digits
Nonary14331base 9; each digit is two ternary digits: 5 digits
Duodecimal5784base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1478base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal2:42:28base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryTTTT0T00Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10111000111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1101100111101100
Bit length14 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits9within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 13worth 8,192
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes226 14
Gray code11010100011110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1101100111101100two's complement
32-bit11111111111111111101100111101100two's complement
64-bit1111111111111111111111111111111111111111111111111101100111101100two's complement
One's complement0010011000010011at 16 bits, every bit flipped
Bits reversed0011011110011011at 16 bits
Rotated left by 11011001111011001at 16 bits, wrapping
Shifted left by 1-100110000101000= -19,496, no wrap
Shifted right by 1-1001100001010= -4,874, discarding the low bit
These bits as a double4.81615192 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-9,748 to the power 295,023,504
-9,748 to the power 3-926,289,116,992
-9,748 to the power 49,029,466,312,438,016
-9,748 to the power 5-88,019,237,613,645,779,968
First ten multiples-9,748, -19,496, -29,244, -38,992, -48,740, -58,488, -68,236, -77,984, -87,732, -97,480
Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9No, remainder 1
Divisible by 10No, remainder 8
Divisible by 11No, remainder 2
Divisible by 12No, remainder 4
Divisible by 100No, remainder 48
As a percentage & fraction
As a percentage-974,800%
-9,748% as a decimal-97.48
-9,748% of 100-9,748
-9,748% of 1,000-97,480
As a fraction of 100-9,748/100
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