16345
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 22464
- Proper Divisor Sum (Aliquot Sum)
- 6119
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11184
- Möbius Function
- -1
- Radical
- 16345
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3.at n=18A022858
- Expansion of 1/((1-6x)(1-9x)(1-10x)(1-12x)).at n=3A028217
- Number of components in all forests on nodes on a circle.at n=6A045740
- a(n) = n*(n - 1)*(2*n^2 + n + 2)/6.at n=15A071246
- First differences are formed by interleaving {2^k - 1, k = 1, 2, 3, ...} and {11*k, k = 5, 4, 3, ...}.at n=25A086848
- sigma(n) + n is a square.at n=32A114069
- a(n) = 2^(n+1) - 3*n.at n=12A123203
- Number of (n+2)X(n+2) binary arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.at n=5A184539
- Number of (n+2) X 8 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order.at n=5A184545
- Sum of cubes of nonprime divisors of n.at n=23A279290
- Records of A288814.at n=19A300098
- Number of non-connected, unlabeled, antichain covers of {1..n} (vertex-connectivity 0).at n=7A327426
- Expansion of (chi(x) / chi(-x^6))^2 in powers of x where chi() is a Ramanujan theta function.at n=48A328790
- Squared length of sum of e_lambda e_lambda', where e_lambda is an elementary symmetric function and lambda ranges over all partitions of n and lambda' is the adjoint (or transpose) of lambda.at n=28A332302
- Number of subsets of the initial segment of the natural numbers strictly below n which are not self-measuring. Number of subsets S of [n] with S != distset(S).at n=14A350105