17115
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31488
- Proper Divisor Sum (Aliquot Sum)
- 14373
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- 1
- Radical
- 17115
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=30A049355
- Numbers k such that phi(k+1) - phi(k) = -d(k).at n=10A066172
- Sum of terms in n-th row of A077316.at n=20A077318
- (n / product of digits of n) is a semiprime.at n=39A085773
- Numbers k such that (k-1)*binomial(2k,k) + 1 is prime.at n=51A085793
- a(n) = index of the first occurrence of n in A088606.at n=44A088757
- Consider the triangle in which the j-th row begins with prime(j) and is the arithmetic progression with least common difference such that the remaining j-1 terms are composite and not divisible by prime(j). Sequence gives last term in each row.at n=34A095182
- Numbers k such that 3k-4, 3k-2, 3k+2, and 3k+4 are primes.at n=25A173092
- a(n) = n*(14*n - 1).at n=35A195024
- Number of partitions of n in which any two parts differ by at most 7.at n=44A218509
- G.f.: exp( Sum_{n>=1} x^n/n * Product_{k>=1} 1/(1 - x^(n*k)*(1 + x^n)^k) ).at n=12A219230
- Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and exactly two more elements moved upwards than downwards.at n=11A263782
- Partial sums of A299281.at n=22A299282
- Sum of the smallest parts in the partitions of n into 7 parts.at n=51A308927
- Odd numbers that are divisible by the product of their digits.at n=35A342949
- Number of regions among all distinct circles that can be constructed from the 3 vertices and the equally spaced 3*n points placed on the sides of an equilateral triangle, using only a compass.at n=5A372615