Recognised as Number
-321,007
- Negative
- Odd
- 6 digits
-321,007 is an odd 6-digit integer and the negative of 321,007. It has 2 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value321,007
Digit count6
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 321,007
Distinct prime factors1321,007
Number of divisors2
Sum of divisors σ(n)321,008
SquarefreeYesno repeated prime factor
All divisors1, 321,0072 in total
Arithmetic
Previous number-321,008
Next number-321,006
Double-642,014
Half-160,503.5
Square103,045,494,049
Cube-33,078,324,908,187,343
Cube root-68.470710479≈
Negation321,007
Reciprocal-0.0000031152≈
Representations
Decimal-321,007
Binary100111001011110111119 bits
Octal1162757
Hexadecimal4E5EF
Base 366VOV
In wordsminus three hundred and twenty-one thousand and seven
Ordinalminus three hundred and twenty-one thousand and seventh
Scientific notation-3.21007 × 10^5
Engineering notation-321.007 × 10^3
In other bases
Ternary121022100011base 3; the most digit-efficient integer base after e: 12 digits
Quinary40233012base 5; one hand: 8 digits
Septenary2504611base 7: 7 digits
Nonary538304base 9; each digit is two ternary digits: 6 digits
Duodecimal135927base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal202a7base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:29:10:7base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT11TT01T000TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11110110111000010001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111110110001101000010001
Bit length19 bitsto write the magnitude
Set bits13the population count, or Hamming weight
Zero bits6within that length
Bit parityodd13 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 18worth 262,144
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes304 e5 ef
Gray code1101001011100011000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111110110001101000010001two's complement
64-bit1111111111111111111111111111111111111111111110110001101000010001two's complement
One's complement00000000000001001110010111101110at 32 bits, every bit flipped
Bits reversed10001000010110001101111111111111at 32 bits
Rotated left by 111111111111101100011010000100011at 32 bits, wrapping
Shifted left by 1-10011100101111011110= -642,014, no wrap
Shifted right by 1-100111001011111000= -160,503, discarding the low bit
These bits as a double1.58598531 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-321,007 to the power 2103,045,494,049
-321,007 to the power 3-33,078,324,908,187,343
-321,007 to the power 410,618,373,843,802,494,414,401
-321,007 to the power 5-3,408,572,332,477,507,324,483,621,807
First ten multiples-321,007, -642,014, -963,021, -1,284,028, -1,605,035, -1,926,042, -2,247,049, -2,568,056, -2,889,063, -3,210,070
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 1
Divisible by 7No, remainder 1
Divisible by 8No, remainder 7
Divisible by 9No, remainder 4
Divisible by 10No, remainder 7
Divisible by 11No, remainder 5
Divisible by 12No, remainder 7
Divisible by 100No, remainder 7
As a percentage & fraction
As a percentage-32,100,700%
-321,007% as a decimal-3,210.07
-321,007% of 100-321,007
-321,007% of 1,000-3,210,070
As a fraction of 100-321,007/100
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