11616
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 33516
- Proper Divisor Sum (Aliquot Sum)
- 21900
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 0
- Radical
- 66
- 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
- 50
- 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
- Median Euler numbers.at n=4A002832
- Number of cyclic Steiner triple systems of order 2n+1.at n=22A002885
- Earliest monotonic sequence fixed (apart from signs) under reversion.at n=12A007303
- Triangle read by rows: number of P-graphs by number of edges and number of non-root nodes.at n=30A011268
- (n,3,1) difference families over Z_n.at n=38A011991
- a(n) = A027144(2n-1, n-2).at n=5A027149
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=25A028589
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=27A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=33A028688
- 23-factorial numbers.at n=2A028692
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=25A029719
- 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 53.at n=33A031551
- a(n) = 6*n^2.at n=44A033581
- Dirichlet convolution of squares with themselves.at n=43A034714
- Shifts left under transform T where Ta is (identity) DCONV a.at n=39A038046
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*11^j.at n=12A038241
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*4^j.at n=12A038318
- Numbers k such that phi(k) = phi(k - phi(k)).at n=43A051487
- a(n) contains n digits (either '1' or '6') and is divisible by 2^n.at n=4A053334
- Numbers k such that sigma(x) = k has exactly 10 solutions.at n=18A060666