Number
17
- Positive
- Odd
- Prime
- 2 digits
17 is an odd 2-digit integer and a prime number. It has 2 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value17
Digit count2
Digit sum8
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation17
Distinct prime factors117
Number of divisors2
Sum of divisors σ(n)18
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)16integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 172 in total
Arithmetic
Representations
Decimal17
Binary100015 bits
Octal21
Hexadecimal11
Base 36H
Roman numeralXVII
In wordsseventeen
Ordinalseventeenth
Scientific notation1.7 × 10^1
Engineering notation17
Nearest landmarks
Powers & multiples
17 to the power 2289
17 to the power 34,913
17 to the power 483,521
17 to the power 51,419,857
First ten multiples17, 34, 51, 68, 85, 102, 119, 136, 153, 170
Powers of twoBetween 2^4 (16) and 2^5 (32)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 7
Divisible by 11No, remainder 6
Divisible by 12No, remainder 5
Divisible by 100No, remainder 17
Collatz (3n + 1) trajectory
Steps to reach 112the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps17 → 52 → 26 → 13 → 40 → 20 → 10 → 5 → 16 → 8 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage1,700%
17% as a decimal0.17
17% of 10017
17% of 1,000170
As a fraction of 10017/100
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