12410
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23976
- Proper Divisor Sum (Aliquot Sum)
- 11566
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 1
- Radical
- 12410
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 156
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (5*n + 1)^2 + 4*n + 1.at n=22A007533
- Number of increasing sequences of star chain type with maximal element n.at n=17A008927
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=31A013643
- Expansion of 1/((1-7*x)*(1-8*x)*(1-9*x)*(1-10*x)).at n=3A016109
- Number of n-node rooted trees of height at most 9.at n=13A034826
- Numbers k such that tau(k) = tau(k+1) mod 691, where tau is Ramanujan's tau function A000594.at n=16A121733
- Twice 13-gonal numbers: a(n) = n*(11*n - 9).at n=34A152997
- a(n) = 25*n^2 - 36*n + 13.at n=23A154355
- G.f. satisfies A(x) = 1 + x*cycle_index(Sym(7), A(x)).at n=13A182378
- First occurrence of n in A225099, or -1 if n does not appear in A225099.at n=5A225100
- Numbers that can be represented as a sum of two distinct nontrivial prime powers in three or more ways.at n=10A225104
- Numbers which are the sum of two squared primes in exactly four ways (ignoring order).at n=3A226599
- Numbers k that are the product of four distinct primes such that x^2+y^2 = k has integer solutions.at n=15A248712
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 347", based on the 5-celled von Neumann neighborhood.at n=26A271299
- a(n) = Product_{d|n} prime(d).at n=20A275700
- Numbers k such that k^2 reversed is a prime and k^2+(k^2 reversed) is a prime.at n=36A306301
- Total number of nodes summed over all lattice paths from (0,0) to (n,n) that do not go above the diagonal x=y and consist of steps (h,v) with min(h,v) > 0 and gcd(h,v) = 1.at n=9A308114
- Even numbers k such that A103230(k) is a perfect square.at n=31A332531