11052
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 28028
- Proper Divisor Sum (Aliquot Sum)
- 16976
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3672
- Möbius Function
- 0
- Radical
- 1842
- Omega Function (Ω)
- 5
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Average theta series of odd unimodular lattices of dimension 15 (multiplied by 43).at n=2A029816
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=32A033701
- Number of self-avoiding closed walks from 0 of area n in strip Z X {0,1,2}.at n=11A038579
- Numbers k such that k^4 = x^3 + y^2 has an integer solution.at n=34A096741
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=38A119864
- Number of permutations of 1..n with all differences of elements separated by distances 1 through 8 being respectively unique.at n=18A170814
- Numbers that are 4-digit palindromes in at least 2 bases.at n=14A180453
- Numbers n with property that there is a different number m such that the lunar squares n*n and m*m are the same.at n=37A181319
- Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^2 equal to n*49.at n=8A184446
- Number of nondecreasing sequences of n 1..6 integers with no element dividing the sequence sum.at n=27A212866
- Least number k such that (n!+k)/n and (n!-k)/n are both prime.at n=33A245697
- Number of length n+4 0..3 arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=3A249839
- T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=18A249844
- Number of length 4+4 0..n arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=2A249848
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood.at n=25A270154
- k-digit composite numbers Sum_{j=0..k-1} d_(j)*10^j with exactly k prime factors, p_(0), p_(1), ..., p_(k-2), p_(k-1), written in ascending order, such that Sum_{j=0..k-1} d_(j)^p_(j) is a prime number.at n=43A283805
- Anagrexpo integers: integers N that exactly reproduce their set of digits when we form the set of exponentiation of pairs of adjacent digits, from left to right.at n=18A297627
- Number of vertices in a hexagon when n internal hexagons are drawn between the 6n points that divide each side into n+1 equal parts.at n=43A357197
- Triangle read by rows: T(n,k) is the number of proper vertex colorings of the n-complete bipartite graph with a perfect matching removed using exactly k interchangeable colors, for n >= 1 and 2 <= k <= 2n.at n=31A385437
- a(n) is the unique nonnegative integer whose binary expansion is the parity sequence of the Collatz orbit of n, interpreted through a particular conjugacy (see Comments).at n=27A389685