15173
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15174
- 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
- 15172
- Möbius Function
- -1
- Radical
- 15173
- 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
- 71
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1772
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=18A004929
- Primes that remain prime through 3 iterations of function f(x) = 3x + 4.at n=11A023278
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 14.at n=9A031602
- Denominators of continued fraction convergents to sqrt(309).at n=11A041583
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=37A052356
- Primes arising in A096847.at n=11A096848
- Numbers k such that the k-th triangular number contains only digits {1,5,7}.at n=11A119135
- List of triples of primes with common difference 12.at n=32A128312
- Primes of the form 210k + 53.at n=34A140851
- Primes congruent to 39 mod 47.at n=38A142390
- Primes congruent to 15 mod 53.at n=32A142545
- Primes congruent to 10 mod 59.at n=31A142737
- Primes congruent to 45 mod 61.at n=30A142843
- a(n) = n^3 - (3*(n+3))^2.at n=29A153259
- Hypotenuses c of primitive Pythagorean Triples (a,b,c) such that 2*a+1, 2*b+1 and 2*c+1 are primes.at n=34A165238
- Primes of form 4k+1 where k is a Pythagorean prime.at n=39A175600
- The icosagen sequence : a(n) = A018227(n)-5, for n >= 2.at n=41A271997
- Primes of the form abs(n^4 - 97n^3 + 3294n^2 - 45458n + 213589) in order of increasing nonnegative n.at n=8A272410
- For any n > 0, if A006666(n) >= 0, then a(n) = Sum_{i = 0..A006666(n)-1} 2^i * [T^i(n) == 0 (mod 2)] (where [] is an Iverson bracket and T^i denotes the i-th iterate of the Collatz function A014682); otherwise a(n) = -1.at n=17A304715
- Numbers that are the sum of eight fourth powers in seven or more ways.at n=33A345582