15217
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
- 15218
- 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
- 15216
- Möbius Function
- -1
- Radical
- 15217
- 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
- 32
- 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
- 1776
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence for alpha-Mn, Position Mn3.at n=32A009952
- Number of terms in n-th derivative of a function composed with itself 6 times.at n=10A022814
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=38A023285
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=36A031832
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/11) starts with n.at n=40A034076
- Matrix 6th power of partition triangle A008284.at n=45A050300
- a(n) = 10*n^2 + 7.at n=39A061722
- Smallest prime containing the n-th square in decimal notation.at n=38A065144
- Smallest prime that begins with the n-th square in decimal notation.at n=38A065145
- 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=23A067860
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-1,1}.at n=14A079991
- 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=22A088291
- a(n) = floor(10^n/7^n).at n=27A094992
- Number of compositions of n into Fibonacci number of parts.at n=16A103197
- Primes of the form 2*3*5*7*k + 97.at n=36A141899
- Primes congruent to 38 mod 43.at n=39A142287
- Primes congruent to 36 mod 47.at n=40A142387
- Primes congruent to 27 mod 49.at n=39A142437
- Primes congruent to 6 mod 53.at n=30A142536
- Primes congruent to 54 mod 59.at n=32A142781