11628
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
- 4
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 21132
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 1938
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 143
- 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
- Binomial coefficients C(n,5).at n=19A000389
- Binomial coefficients C(2*n+5,5).at n=7A002299
- Numbers that occur 5 or more times in Pascal's triangle.at n=6A003015
- Expansion of g.f. x*(1 + x)*(1 + 6*x + x^2)/(1 - x)^7.at n=8A006858
- Coordination sequence for alpha-Mn, Position Mn2.at n=28A009951
- Binomial coefficient C(19,n).at n=14A010935
- Binomial coefficient C(19,n).at n=5A010935
- a(n) = binomial coefficient C(n,14).at n=5A010967
- a(n) = (2/(3*n-1))*binomial(3*n,n).at n=7A024485
- Binomial coefficients: C(n,k), 5 <= k <= n-5, sorted.at n=31A024749
- Binomial coefficients: C(n,k), 5 <= k <= n-5, sorted.at n=32A024749
- Binomial coefficients: C(n,k), 4 <= k <= n-4, sorted, duplicates removed.at n=33A024756
- Binomial coefficients: C(n,k), 5 <= k <= n-5, sorted, duplicates removed.at n=16A024757
- a(n) = binomial(2n+1,n-4).at n=5A030054
- a(n) = 2*n*(4*n + 1).at n=38A033585
- a(n) = binomial(n, floor((n-8)/2)).at n=19A037958
- Denominators of continued fraction convergents to sqrt(322).at n=7A041609
- Maximization of sums of cubes of integer differences (b_[ i ]-i)^3 over permutations {b_[ i ], for i-1,2,...,n} on first n integers.at n=23A049031
- T(n,5), array T as in A050186; a count of aperiodic binary words.at n=14A050190
- Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8.at n=18A050534