11620
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28224
- Proper Divisor Sum (Aliquot Sum)
- 16604
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3936
- Möbius Function
- 0
- Radical
- 5810
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- Number of partitions into non-integral powers.at n=41A000148
- Coordination sequence for D_7 lattice.at n=3A008359
- Expansion of (1-x^5) / (1-x)^5.at n=24A008487
- a(n) = n*(19*n - 1)/2.at n=35A022276
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5).at n=43A039861
- Number of partitions of n such that the least part occurs with even multiplicity.at n=37A096374
- Square array T(n,k) read by antidiagonals: coordination sequence for lattice D_n.at n=24A103903
- Integral quotients of products of consecutive composites divided by their sums: sums (divisors).at n=27A141091
- Expansion of x/((1 - x - x^4)*(1 - x)^3).at n=20A145132
- Elias omega coded prime numbers represented in decimal.at n=23A147764
- Abs(square of n-th prime minus cube of n-1).at n=29A151911
- 10 times pentagonal numbers: a(n) = 5*n*(3*n-1).at n=28A153780
- Number of 4-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.at n=17A187608
- Number of isosceles right triangles on a 2n X (n+1) grid.at n=8A189894
- Number of nX2 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=4A200931
- Number of nX5 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=1A200934
- T(n,k)=Number of nXk 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=16A200935
- T(n,k)=Number of nXk 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=19A200935
- Number of 5-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=9A209486
- Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 10).at n=37A212369