16848
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 50
- Divisor Sum
- 52514
- Proper Divisor Sum (Aliquot Sum)
- 35666
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- a(n) = (7*n+3)*(7*n+5)*(7*n+6).at n=3A001561
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=30A008654
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=27A011935
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 3 (most significant digit on left).at n=22A029448
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=41A029488
- Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=28A033688
- Numbers k such that phi(k) and cototient(k) are squares but k is not in A054755.at n=13A054756
- Number of squares (of another matrix) in the group GL(2,Z_n) described in sequence A000252.at n=38A068516
- Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group.at n=35A074120
- Coefficients in expansion of Eisenstein series -q*E'_2.at n=17A076835
- Product of numbers obtained by adding one to the odd divisors of n and subtracting 1 from the even divisors.at n=27A086535
- Structured octagonal prism numbers.at n=17A100176
- Number of products of distinct factorials not exceeding n!.at n=37A101977
- Euler's totient function applied to tribonacci numbers.at n=17A107647
- Numbers of the form (6^i)*(13^j), with i, j >= 0.at n=15A107710
- Kekulé numbers for certain benzenoids.at n=6A110694
- a(n) = J_4(n)/240.at n=39A115002
- Triangle T, read by rows, where column k of T equals (k+1)*(column k of T^2) when shifted to have an initial '1'; i.e., T(n,k) = (k+1)*[T^2](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0.at n=30A123305
- Column 2 of triangle A123305.at n=5A123308
- Twice A136279.at n=6A136280