Recognised as Number
-7,321
- Negative
- Odd
- 4 digits
-7,321 is an odd 4-digit integer and the negative of 7,321. It has 2 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value7,321
Digit count4
Digit sum13
Digit product42
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 7,321
Distinct prime factors17,321
Number of divisors2
Sum of divisors σ(n)7,322
SquarefreeYesno repeated prime factor
All divisors1, 7,3212 in total
Arithmetic
Previous number-7,322
Next number-7,320
Double-14,642
Half-3,660.5
Square53,597,041
Cube-392,383,937,161
Cube root-19.417357901≈
Negation7,321
Reciprocal-0.0001365934≈
Representations
Decimal-7,321
Binary111001001100113 bits
Octal16231
Hexadecimal1C99
Base 365ND
In wordsminus seven thousand, three hundred and twenty-one
Ordinalminus seven thousand, three hundred and twenty-first
Scientific notation-7.321 × 10^3
Engineering notation-7.321 × 10^3
In other bases
Ternary101001011base 3; the most digit-efficient integer base after e: 9 digits
Quinary213241base 5; one hand: 6 digits
Septenary30226base 7: 5 digits
Nonary11034base 9; each digit is two ternary digits: 5 digits
Duodecimal42a1base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimali61base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal2:2:1base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT0T00T0TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10010010111011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110001101100111
Bit length13 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits6within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 12worth 4,096
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes21c 99
Gray code1001011010101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1110001101100111two's complement
32-bit11111111111111111110001101100111two's complement
64-bit1111111111111111111111111111111111111111111111111110001101100111two's complement
One's complement0001110010011000at 16 bits, every bit flipped
Bits reversed1110011011000111at 16 bits
Rotated left by 11100011011001111at 16 bits, wrapping
Shifted left by 1-11100100110010= -14,642, no wrap
Shifted right by 1-111001001101= -3,660, discarding the low bit
These bits as a double3.61705459 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-7,321 to the power 253,597,041
-7,321 to the power 3-392,383,937,161
-7,321 to the power 42,872,642,803,955,681
-7,321 to the power 5-21,030,617,967,759,540,601
First ten multiples-7,321, -14,642, -21,963, -29,284, -36,605, -43,926, -51,247, -58,568, -65,889, -73,210
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 1
Divisible by 7No, remainder 6
Divisible by 8No, remainder 1
Divisible by 9No, remainder 4
Divisible by 10No, remainder 1
Divisible by 11No, remainder 6
Divisible by 12No, remainder 1
Divisible by 100No, remainder 21
As a percentage & fraction
As a percentage-732,100%
-7,321% as a decimal-73.21
-7,321% of 100-7,321
-7,321% of 1,000-73,210
As a fraction of 100-7,321/100
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