16032
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 42336
- Proper Divisor Sum (Aliquot Sum)
- 26304
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5312
- Möbius Function
- 0
- Radical
- 1002
- Omega Function (Ω)
- 7
- 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
- 115
- 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 of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n.at n=41A023893
- Triangle read by rows: T(n,k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w + 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...at n=49A059474
- Triangle read by rows: T(n,k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w + 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...at n=50A059474
- A nonsense sequence.at n=6A088591
- Numbers k such that 216*k+108 is a term of A097703 and A007494 and A098240.at n=15A098241
- E.g.f.: exp(2x/(1-2x)).at n=5A104533
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n having trapezoid weight k.at n=47A104552
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having height of the last peak equal to k (1 <= k <= n).at n=50A128745
- Triangle T, read by rows, where column n of T = column 0 of T^(2^n) for n>0, such that column 0 (A129092) equals the row sums of the prior row, starting with T(0,0)=1.at n=31A129100
- Column 3 of triangle A129100; also equals column 0 of matrix power A129100^8.at n=4A129103
- Triangle T, read by rows, where row n (shifted left) of T equals row 0 of matrix power T^n for n>=0.at n=39A129104
- Maximum number of partitions of n into exactly k parts, each <= k. a(n) is maximum in each row of A157044.at n=53A157046
- T(n,k) is the number of n-step king-knight's tours (piece capable of both kinds of moves) on a k X k board summed over all starting positions.at n=33A187850
- Number of 6-step king-knight's tours (piece capable of both kinds of moves) on an n X n board summed over all starting positions.at n=2A187854
- Number of isomorphism classes of nanocones with 4 pentagons and a nearsymmetric boundary of length n.at n=13A198016
- Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..2 introduced in row major order.at n=1A204941
- Number of (n+2)X4 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..2 introduced in row major order.at n=0A204942
- T(n,k) = Number of (n+2) X (k+2) 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..2 introduced in row major order.at n=1A204945
- T(n,k) = Number of (n+2) X (k+2) 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..2 introduced in row major order.at n=2A204945
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n+1.at n=33A211142