Recognised as Number
-1,729
- Negative
- Odd
- 4 digits
-1,729 is an odd 4-digit integer and the negative of 1,729. It has 8 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,729
Digit count4
Digit sum19
Digit product126
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 7 × 13 × 19
Distinct prime factors37, 13, 19
Number of divisors8
Sum of divisors σ(n)2,240
SquarefreeYesno repeated prime factor
All divisors1, 7, 13, 19, 91, 133, 247, 1,7298 in total
Arithmetic
Representations
Decimal-1,729
Binary1101100000111 bits
Octal3301
Hexadecimal6C1
Base 361C1
In wordsminus one thousand, seven hundred and twenty-nine
Ordinalminus one thousand, seven hundred and twenty-ninth
Scientific notation-1.729 × 10^3
Engineering notation-1.729 × 10^3
In other bases
Ternary2101001base 3; the most digit-efficient integer base after e: 7 digits
Quinary23404base 5; one hand: 5 digits
Septenary5020base 7: 4 digits
Nonary2331base 9; each digit is two ternary digits: 4 digits
Duodecimal1001base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal469base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal28:49base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1T0T00Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100101000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111100100111111
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes206 c1
Gray code10110100001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111100100111111two's complement
32-bit11111111111111111111100100111111two's complement
64-bit1111111111111111111111111111111111111111111111111111100100111111two's complement
One's complement0000011011000000at 16 bits, every bit flipped
Bits reversed1111110010011111at 16 bits
Rotated left by 11111001001111111at 16 bits, wrapping
Shifted left by 1-110110000010= -3,458, no wrap
Shifted right by 1-1101100001= -864, discarding the low bit
These bits as a double8.54239502 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,729 to the power 22,989,441
-1,729 to the power 3-5,168,743,489
-1,729 to the power 48,936,757,492,481
-1,729 to the power 5-15,451,653,704,499,649
First ten multiples-1,729, -3,458, -5,187, -6,916, -8,645, -10,374, -12,103, -13,832, -15,561, -17,290
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 1
Divisible by 10No, remainder 9
Divisible by 11No, remainder 2
Divisible by 12No, remainder 1
Divisible by 100No, remainder 29
As a percentage & fraction
As a percentage-172,900%
-1,729% as a decimal-17.29
-1,729% of 100-1,729
-1,729% of 1,000-17,290
As a fraction of 100-1,729/100
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