17356
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 30380
- Proper Divisor Sum (Aliquot Sum)
- 13024
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8676
- Möbius Function
- 0
- Radical
- 8678
- Omega Function (Ω)
- 3
- 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
- 79
- 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
- a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.at n=13A027382
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 98 ones.at n=13A031866
- Base-8 palindromes that start with 4.at n=33A043024
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=23A045084
- Numbers n such that 2*10^n + 7*R_n - 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=10A102958
- Triangle read by rows, iterates of X * [1,0,0,0,...] where X = an infinite bidiagonal matrix with (2,1,2,1,2,1,...) in the main diagonal, (1,2,1,2,1,2,...) in the subdiagonal and the rest zeros.at n=59A140169
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 1, 1), (0, 1, 1), (1, -1, 1), (1, 0, 1), (1, 1, -1)}.at n=7A150900
- Number of nX5 0..3 arrays with no more than floor(nX5/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=1A223040
- T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=16A223041
- Number of 2Xn 0..3 arrays with no more than floor(2Xn/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=4A223042
- Concatenation of n-th prime and n-th nonprime.at n=39A253910
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 14", based on the 5-celled von Neumann neighborhood.at n=7A269708
- a(n) is the number of distinct products p of Fibonacci numbers such that Fibonacci(n) < p <= Fibonacci(n + 1).at n=45A286948
- G.f. A(x) satisfies A(x) = 1/(1 - x/(1 - x*A(x)^3)^2).at n=7A391649