Recognised as Number
-2,821
- Negative
- Odd
- 4 digits
-2,821 is an odd 4-digit integer and the negative of 2,821. It has 8 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value2,821
Digit count4
Digit sum13
Digit product32
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 × 13 × 31
Distinct prime factors37, 13, 31
Number of divisors8
Sum of divisors σ(n)3,584
SquarefreeYesno repeated prime factor
All divisors1, 7, 13, 31, 91, 217, 403, 2,8218 in total
Arithmetic
Representations
Decimal-2,821
Binary10110000010112 bits
Octal5405
HexadecimalB05
Base 3626D
In wordsminus two thousand, eight hundred and twenty-one
Ordinalminus two thousand, eight hundred and twenty-first
Scientific notation-2.821 × 10^3
Engineering notation-2.821 × 10^3
In other bases
Ternary10212111base 3; the most digit-efficient integer base after e: 8 digits
Quinary42241base 5; one hand: 5 digits
Septenary11140base 7: 5 digits
Nonary3774base 9; each digit is two ternary digits: 4 digits
Duodecimal1771base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal711base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal47:1base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT011TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010100001111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111010011111011
Bit length12 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits7within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 11worth 2,048
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes20b 05
Gray code111010000111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111010011111011two's complement
32-bit11111111111111111111010011111011two's complement
64-bit1111111111111111111111111111111111111111111111111111010011111011two's complement
One's complement0000101100000100at 16 bits, every bit flipped
Bits reversed1101111100101111at 16 bits
Rotated left by 11110100111110111at 16 bits, wrapping
Shifted left by 1-1011000001010= -5,642, no wrap
Shifted right by 1-10110000011= -1,410, discarding the low bit
These bits as a double1.39375919 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-2,821 to the power 27,958,041
-2,821 to the power 3-22,449,633,661
-2,821 to the power 463,330,416,557,681
-2,821 to the power 5-178,655,105,109,218,101
First ten multiples-2,821, -5,642, -8,463, -11,284, -14,105, -16,926, -19,747, -22,568, -25,389, -28,210
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
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 7Yes
Divisible by 8No, remainder 5
Divisible by 9No, remainder 4
Divisible by 10No, remainder 1
Divisible by 11No, remainder 5
Divisible by 12No, remainder 1
Divisible by 100No, remainder 21
As a percentage & fraction
As a percentage-282,100%
-2,821% as a decimal-28.21
-2,821% of 100-2,821
-2,821% of 1,000-28,210
As a fraction of 100-2,821/100
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