10953
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15834
- Proper Divisor Sum (Aliquot Sum)
- 4881
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7296
- Möbius Function
- 0
- Radical
- 3651
- 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
- 42
- 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
- Multiplicity of highest weight (or singular) vectors associated with character chi_101 of Monster module.at n=38A034489
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 10 (most significant digit on right).at n=7A061963
- Interprimes which are of the form s*prime, s=9.at n=33A075284
- Third row of Pascal-(1,3,1) array A081578.at n=37A081585
- Numbers k such that k and 8*k, taken together, are pandigital.at n=11A114126
- An alternating 2-based sum from prime(n) up to the base of the n-th Mersenne prime.at n=19A162848
- Number of nontrivial compositions of differential operations and directional derivative of the n-th order on the space R^9.at n=20A187107
- Potential magic constants of 9 X 9 magic squares composed of consecutive primes.at n=14A191679
- Number of n-node unlabeled rooted trees with thinning limbs and root outdegree (branching factor) 2.at n=16A244703
- Number of sets of exactly eight positive integers <= n having a square element sum.at n=13A281868
- Number of (not necessarily maximal) cliques in the n X n knight graph.at n=47A295905
- a(n) is the number of length n decorated permutations avoiding the pattern 001.at n=7A334155
- Odd numbers for which sigma(k) is congruent to 2 modulo 4 and the 3-adic valuation of k is one larger than the 3-adic valuation of sigma(k).at n=39A351534
- a(0)=0; for n > 0, a(n) = 2*a(n-1) if n-1 is prime, a(n-1) + 1 otherwise.at n=41A354973
- Number of integer partitions of n that cannot be partitioned into a set (or multiset) of sets with distinct sums.at n=38A381990
- Numbers that can be written in exactly two different ways as s_1^x_1 + ... + s_t^x_t, with 1 < s_1 < ... < s_t and {s_1,..., s_t} = {x_1,..., x_t} for some t > 0.at n=26A386966
- Numbers that can be written in exactly two different ways in the form described by A387302.at n=3A387898
- Numbers k for which there exists m such that the sum from 1 to m and the sum from m + 1 to k are both perfect squares.at n=24A388659