12517
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12518
- 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
- 12516
- Möbius Function
- -1
- Radical
- 12517
- 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
- 112
- 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
- 1495
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of n-node rooted trees of height 4.at n=14A000299
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=42A005892
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=26A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=26A007708
- Coordination sequence for MgZn2, Mg position.at n=28A009939
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=34A020372
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=12A023081
- Numbers k such that 3*2^k - 5 is prime.at n=36A057912
- Numbers p from A001125 such that 2*p-3 is prime.at n=18A063939
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=16A067860
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=15A088291
- Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=18A088787
- Number of squares on infinite chessboard that a knight can reach in n moves from a fixed square.at n=42A118312
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10.at n=15A119596
- Number of primitive Pythagorean-like triples a^2+b^2=c^2+k for k=-1 with c<=10^n.at n=4A121082
- Primes congruent to 11 mod 37.at n=37A142120
- Primes congruent to 12 mod 41.at n=37A142209
- Primes congruent to 4 mod 43.at n=33A142253
- Primes congruent to 15 mod 47.at n=33A142366
- Primes congruent to 22 mod 49.at n=32A142432