12995
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16416
- Proper Divisor Sum (Aliquot Sum)
- 3421
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9856
- Möbius Function
- -1
- Radical
- 12995
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (4*n+1)*(4*n+3).at n=28A001539
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7).at n=23A013984
- Squarefree numbers k with largest prime factor = floor(sqrt(k)).at n=20A071311
- a(n) = a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6) + a(n-7).at n=22A107479
- a(n) = 9*n^2-1.at n=37A136016
- a(n) = 36n^2 - 1.at n=18A136017
- a(0) = 2, a(1) = 5, a(n) = 4 * a(n-1) - a(n-2).at n=7A144721
- The arithmetic mean of the n-th and (n+1)-st cubes, rounded down.at n=23A147656
- a(n) = 361*n - 1.at n=35A158308
- Vertex number of a rectangular spiral related to Fibonacci numbers and prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the Fibonacci numbers, while the distances between nearest edges perpendicular to the initial edge are the prime numbers.at n=34A160794
- The odd composites c such that c=q*g*j*y/2 and q+g=j*y where q,g,j,y are distinct primes.at n=27A167629
- Number of 2n-digit primes that are concatenation of n two-digit distinct primes p_1...p_n, 98>p_1>p_2>...>p_n>10.at n=11A168513
- The Wiener index of the windmill graph D(6,n). The windmill graph D(m,n) is the graph obtained by taking n copies of the complete graph K_m with a vertex in common (i.e., a bouquet of n pieces of K_m graphs).at n=22A180577
- Values of x in the solutions to x^2 - 4xy + y^2 + 11 = 0, where 0 < x < y.at n=14A237250
- Number of partitions of n such that the number of odd parts is a part and the number of even parts is not a part.at n=45A240578
- After a(0)=0, numbers n such that (A002828(1+n) = 1) and (A002828(4+n) = 4).at n=43A278491
- Least common multiple of 3*n+1 and 3*n-1.at n=38A282284
- a(n) = a(n-1) + sum of base-1000 digits of a(n-1), a(0)=1.at n=39A292568
- MM-numbers of capturing, non-nesting multiset partitions (with empty parts allowed).at n=18A326260
- Number of strict compositions of n with all adjacent parts (x, y) satisfying x < 2y and y < 2x.at n=52A342341