13525
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
- 6
- Divisor Sum
- 16802
- Proper Divisor Sum (Aliquot Sum)
- 3277
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10800
- Möbius Function
- 0
- Radical
- 2705
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=14A023081
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A014306.at n=36A024596
- a(n)^2 + 1 = A081089(n), where A081089(n) = A081088(n+1)/A081088(n); involves the partial quotients of a series of continued fractions that sum to unity.at n=4A081090
- a(n) = (2*n^3 - n^2 - n + 2)/2.at n=24A081441
- a(n) is the minimal area of a convex lattice polygon with 2n sides.at n=44A089187
- 47-gonal numbers.at n=24A095311
- Numbers n for which there are exactly six k such that n = k + (product of nonzero digits of k).at n=10A096927
- Structured octagonal anti-diamond numbers (vertex structure 7).at n=14A100187
- Numbers which are the sum of 3 cubes of distinct odd primes.at n=37A138853
- a(1)= 1; a(2)= 5; thereafter a(n)= a(n-1) + a(n-2) + 5.at n=16A166863
- Number of strings of numbers x(i=1..7) in 0..n with sum i^2*x(i)^2 equal to n^2*49.at n=15A184245
- The maximum possible number of rooted triples consistent with any galled-tree (level-1 phylogenetic network) containing exactly n leaves.at n=39A216499
- Table read by antidiagonals: T(n,k) is the number of idempotent n X n 0..k matrices of rank 1.at n=32A224524
- Number of idempotent 5X5 0..n matrices of rank 1.at n=3A224527
- Smallest missing number in first 10^n digits after the decimal point in expansion of Euler's constant (or Euler-Mascheroni constant) gamma.at n=5A229070
- Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.at n=7A266358
- T(n,k) = Number of n X k binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.at n=58A266362
- Number of partitions of n with product of multiplicities of parts equal to 6.at n=52A266689
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 814", based on the 5-celled von Neumann neighborhood.at n=32A273644
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 833", based on the 5-celled von Neumann neighborhood.at n=23A273677