Recognised as Number
-399
- Negative
- Odd
- 3 digits
-399 is an odd 3-digit integer and the negative of 399. It has 8 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value399
Digit count3
Digit sum21
Digit product243
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 7 × 19
Distinct prime factors33, 7, 19
Number of divisors8
Sum of divisors σ(n)640
SquarefreeYesno repeated prime factor
All divisors1, 3, 7, 19, 21, 57, 133, 3998 in total
Arithmetic
Representations
Decimal-399
Binary1100011119 bits
Octal617
Hexadecimal18F
Base 36B3
In wordsminus three hundred and ninety-nine
Ordinalminus three hundred and ninety-ninth
Scientific notation-3.99 × 10^2
Engineering notation-399
In other bases
Ternary112210base 3; the most digit-efficient integer base after e: 6 digits
Quinary3044base 5; one hand: 4 digits
Septenary1110base 7: 4 digits
Nonary483base 9; each digit is two ternary digits: 3 digits
Duodecimal293base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimaljjbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal6:39base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1101T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111001110001
Bit length9 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits3within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 8f
Gray code101001000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111001110001two's complement
32-bit11111111111111111111111001110001two's complement
64-bit1111111111111111111111111111111111111111111111111111111001110001two's complement
One's complement0000000110001110at 16 bits, every bit flipped
Bits reversed1000111001111111at 16 bits
Rotated left by 11111110011100011at 16 bits, wrapping
Shifted left by 1-1100011110= -798, no wrap
Shifted right by 1-11001000= -199, discarding the low bit
These bits as a double1.97132193 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-399 to the power 2159,201
-399 to the power 3-63,521,199
-399 to the power 425,344,958,401
-399 to the power 5-10,112,638,401,999
First ten multiples-399, -798, -1,197, -1,596, -1,995, -2,394, -2,793, -3,192, -3,591, -3,990
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7Yes
Divisible by 8No, remainder 7
Divisible by 9No, remainder 3
Divisible by 10No, remainder 9
Divisible by 11No, remainder 3
Divisible by 12No, remainder 3
Divisible by 100No, remainder 99
As a percentage & fraction
As a percentage-39,900%
-399% as a decimal-3.99
-399% of 100-399
-399% of 1,000-3,990
As a fraction of 100-399/100
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