17856
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
- 2
Divisibility
- Divisor Count
- 42
- Divisor Sum
- 52832
- Proper Divisor Sum (Aliquot Sum)
- 34976
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 186
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Susceptibility series for diamond.at n=10A003195
- a(n) = ceiling(n*phi^17), where phi is the golden ratio, A001622.at n=5A004972
- Pisot sequence E(8,55), a(n) = floor(a(n-1)^2/a(n-2) + 1/2).at n=4A010924
- Expansion of e.g.f. arctan(tanh(x) * log(x+1)).at n=9A012653
- Expansion of e.g.f. tanh(tanh(x) * log(x+1)).at n=9A012656
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite STI = Stilbite Na4Ca8[Al20Si52O144].56H2O starting with a T4 atom.at n=13A019239
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=31A028644
- Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.at n=22A028696
- Numbers k such that k(k+1)(k+2)...(k+9) / (k+(k+1)+(k+2)+...+(k+9)) is an integer.at n=35A032782
- Theta series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4).at n=11A033693
- Number of open positions in the game Fair Share and Varied Pairs starting with n tokens.at n=36A060463
- Determinant of n X n matrix whose diagonal are the first n primes and all other elements are 1's.at n=5A067549
- Convolution triangle of A002605(n) (generalized (2,2)-Fibonacci), n>=0.at n=48A073387
- Third convolution of A002605(n) (generalized (2,2)-Fibonacci), n >= 0, with itself.at n=6A073390
- A generalization of triangles A071951 (Legendre-Stirling) and A089504.at n=7A090215
- Second column (k=5) of array A090214 ((4,4)-Stirling2) divided by 4*4!=96.at n=2A091037
- Triangle of scaled second column sequences of (k,k)-Stirling2 arrays.at n=18A091039
- G.f.: A(x) = exp( Sum_{n>=1} 4^[(n^2+1)/2]*x^n/n ), a power series in x with integer coefficients.at n=4A156337
- a(n) = binomial(n+1,2)*6^2.at n=31A162940
- Number of reduced 3 X 3 semimagic squares with distinct nonnegative integer entries and maximum entry n.at n=12A173727