15017
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15018
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15016
- Möbius Function
- -1
- Radical
- 15017
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 208
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1756
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 65.at n=14A020404
- Fibonacci sequence beginning 1, 24.at n=15A022394
- Number of partitions of n into parts not of the form 25k, 25k+11 or 25k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=35A036010
- Primes which, although they have correct parity, are not in the prime number maze.at n=27A065123
- Class 6+ primes.at n=18A081634
- Triangle of primes derived in A083776.at n=20A083778
- Primes of the form primorial(p)/2+2.at n=4A096178
- Smallest prime p such that p-2 is a product of exactly n distinct primes.at n=4A098028
- Primes of the form (1!)^2 + (2!)^2 + (3!)^2 +...+ (k!)^2.at n=3A100288
- Primes of the form A019565(2^n-1-k)+A019565(k) with minimum k.at n=5A103785
- a(n) = Sum_{k=1..n} k!^2.at n=4A104344
- Primes for which the level is equal to 9 in A117563.at n=37A118481
- Primes congruent to 10 mod 43.at n=39A142259
- Primes congruent to 24 mod 47.at n=37A142375
- Primes congruent to 23 mod 49.at n=40A142433
- Primes congruent to 18 mod 53.at n=36A142548
- Primes congruent to 31 mod 59.at n=28A142758
- Primes congruent to 11 mod 61.at n=30A142809
- Negative values along the main diagonal of the array defined by A020806 and its differences.at n=13A144472
- Primes of the form 6*n^2+17.at n=36A151953