16576
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 38608
- Proper Divisor Sum (Aliquot Sum)
- 22032
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6912
- Möbius Function
- 0
- Radical
- 518
- Omega Function (Ω)
- 8
- 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
- 128
- 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 n-state 2-input 1-output automata with one initial and one terminal state.at n=2A000591
- Percolation series for directed square lattice.at n=24A006462
- Number of ways of writing n as a sum of 7 squares.at n=15A008451
- a(n) = (prime(n+2)^2 - 1)/3.at n=45A024700
- a(n) = A027144(2n, n-2).at n=5A027147
- a(n) = n^2*(n^2+3)/4.at n=15A039623
- Numbers k such that k^2 + 1 is composite and phi(k^2 + 1) == 0 (mod k).at n=30A067519
- Number of strings of length n over GF(4) with trace 0 and subtrace 0.at n=8A073995
- Number of strings of length n over GF(4) with trace 1 and subtrace 0.at n=8A073997
- Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4.at n=30A079094
- Number of tilings of {1...n} by translation and reflection of a single set.at n=29A096154
- Triangular matrix T, read by rows, that satisfies: T = D + SHIFT_LEFT(T^2) where SHIFT_LEFT shifts each row 1 place to the left and D is the diagonal matrix {1, 2, 3, ...}.at n=32A107667
- Matrix square of triangle A107667.at n=33A107670
- a(n) = a(n-1) + Sum_{k=1..floor(n/4)} a(n-4k), with a(0)=1.at n=29A113439
- Second row of A113439.at n=7A113441
- Number of binary pattern classes in the (2,n)-rectangular grid; two patterns are in same class if one of them can be obtained by reflection or rotation of the other one.at n=7A132390
- Square array T(n, k) = v(k, n)((1)), where v(n, q) = M*v(n-1, q), M = {{0, 1, 0}, {0, 0, 1}, {8*q^3, 6*q, 0}}, with v(0, q) = {1, 1, 1}, read by antidiagonals.at n=37A173747
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,4,6,4,1.at n=21A221993
- Number of binary pattern classes in the (2,n)-rectangular grid: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=8A225826
- Number of binary pattern classes in the (4,n)-rectangular grid: two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=4A225828