14717
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14718
- 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
- 14716
- Möbius Function
- -1
- Radical
- 14717
- 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
- 164
- 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
- 1722
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coefficients of modular function denoted G_6(tau) by Atkin.at n=14A005764
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=19A020394
- Odd k for which k+2^m is composite for all m < k.at n=8A033919
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=21A051964
- Primes of the form 8k+5 generated recursively: a(1)=5, a(n) = least prime p == 5 (mod 8) with p | 4+Q^2, where Q is the product of all previous terms in the sequence.at n=6A057208
- Primes having only {1, 4, 7} as digits.at n=34A079651
- Row sums of triangle A091492.at n=46A091493
- Value of C in y = x^2 + 5x + C such that y is prime for all x = 0 to 3.at n=34A097434
- Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes.at n=46A097870
- Product of the square matrix in A065941 and the column vector (1, 2, 3, ...)'.at n=15A131913
- Primes of the form 210k + 17.at n=34A140842
- Primes congruent to 6 mod 47.at n=37A142357
- Primes congruent to 36 mod 53.at n=29A142566
- Primes congruent to 26 mod 59.at n=24A142753
- Primes congruent to 16 mod 61.at n=26A142814
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 1, -1)}.at n=7A151075
- Primes p such that both p^5 - 6 and p^5 + 6 are prime.at n=5A157256
- (A178476(n)-3)/9.at n=24A178486
- Number of n-bead necklaces labeled with numbers 1..7 allowing reversal, with no adjacent beads differing by more than 1.at n=11A208720
- Primes having primitive roots 2, 3, 5, 7, and 11.at n=27A241046