16750
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31824
- Proper Divisor Sum (Aliquot Sum)
- 15074
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6600
- Möbius Function
- 0
- Radical
- 670
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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 asymmetric polyominoes with n cells.at n=10A006749
- Denominators of continued fraction convergents to sqrt(670).at n=10A042289
- Generalized Catalan numbers C(5,5; n).at n=4A064343
- Triangle of numbers composed of certain generalized Catalan numbers.at n=50A064879
- a(n) = Sum_{r=1..n} r^4*binomial(n,r)^2.at n=5A074334
- Triangle read by rows: reversed partial sums of Narayana triangle rows.at n=47A104710
- Numbers whose trajectory under the Esucarys map ends at the fixed point 247.at n=22A129133
- Number of (n+4)X1 arrays of occupancy after each element moves up to +-4 places but not 0 and without 2-loops.at n=4A222162
- T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places but not 0 and without 2-loops.at n=32A222165
- Floor(M(g(n-1)+1,..,g(n))), where M = harmonic mean and g(n) = n(n + 1)(n + 2)/6.at n=45A227016
- Erroneous version of A006749.at n=10A259093
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 493", based on the 5-celled von Neumann neighborhood.at n=27A272545
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 510", based on the 5-celled von Neumann neighborhood.at n=38A272700
- a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 307) or the same sequence for the mesh pattern (12, 409).at n=10A289613
- a(n) = prime(n) + prime(n+1) * prime(n+2).at n=29A293206
- Number of labeled simple graphs with n vertices and exactly n - 1 endpoints (vertices of degree 1).at n=10A327370
- Arithmetic derivative of the primorial base exp-function: a(n) = A003415(A276086(n)).at n=56A327860
- Number of partitions of set [n] in a set of <= k noncrossing subsets. Number of Dyck n-paths with at most k peaks. Both with 0 <= k <= n, read by rows.at n=63A349740
- a(n) is the number of triangular partitions whose Young diagram fits inside a square of side n.at n=27A368638