16064
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 32004
- Proper Divisor Sum (Aliquot Sum)
- 15940
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8000
- Möbius Function
- 0
- Radical
- 502
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 71
- 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
- The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r.at n=40A005576
- a(n) = Sum_{k=2..n} n(n-1)...(n-k+1)/k.at n=7A006231
- Composite n such that phi(n) * sigma(n) is one less than a square.at n=40A015709
- Composite and even n such that phi(n) * sigma(n) is one less than a square.at n=23A015721
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=29A031561
- Numbers n such that phi(n) + 1 | sigma(n).at n=12A056097
- Numbers k such that sigma(k) == 4 (mod phi(k)).at n=8A067193
- Solutions to A096509[x]=6; number of prime-powers [including primes] in the neighborhood of x with Ceiling[Log[x]] radius equals 6.at n=10A096517
- Expansion of (4 - 7*x + 2*x^2)/((1-2*x)*(1 - 2*x + 2*x^2)).at n=13A100215
- Even elements of A085493.at n=34A106431
- Triangle read by rows: T(n,k) is the number of permutations of an n-set having k cycles of size > 1 (0<=k<=floor(n/2)).at n=21A136394
- Binomial convolution of the (signless) central Stirling numbers of the first kind (A187646).at n=4A187658
- Number of ways to place n nonattacking composite pieces rook + rider[2,6] on an n X n chessboard.at n=7A189857
- Molecular topological indices of the pan graphs.at n=30A192836
- a(n) is the number of terms in the expansion of (x-y)(x^3-y^3)*(x^6-y^6)*(x^10-y^10)*...*(x^T_i-y^T_i), where T_i is the i-th triangular number.at n=44A222028
- Expansion of 1/(1 - x - x^2 - x^6 + x^8).at n=20A225391
- Number of 2-packed n X n matrices.at n=3A230879
- Numbers n such that phi(phi(n)) + sigma(sigma(n))=6*n.at n=2A246630
- 8-step Fibonacci sequence starting with 0,0,0,0,0,0,1,0.at n=22A251672
- Number of (n+1) X (5+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=19A253394