17797
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19698
- Proper Divisor Sum (Aliquot Sum)
- 1901
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15984
- Möbius Function
- 0
- Radical
- 481
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(832).at n=6A042606
- Expansion of (1+x^3*C)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=9A071727
- Expansion of (1+x^4*C^3)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=9A071751
- Structured rhombic triacontahedral numbers (vertex structure 7).at n=12A100165
- Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n.at n=8A110375
- 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, 0, 0), (-1, 0, 1), (1, -1, 1), (1, 0, -1), (1, 1, 0)}.at n=8A149471
- 13 times the squares: a(n) = 13*n^2.at n=37A152742
- Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 2 ones in any 5 X 5 X 5 subtriangle.at n=22A153919
- Number of partitions of n having no more odd than even parts.at n=42A171966
- Partial sums of A006567.at n=36A172463
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=2, k=-1 and l=1.at n=9A176962
- Reversal of sigma(n) equals the sum of the reversals of the divisors of n.at n=8A203615
- Numbers k such that (7*10^k - 13)/3 is prime.at n=25A273924
- Numbers p^2*q, p > q odd primes such that q does not divide p-1, and q does not divide p+1.at n=32A350421
- G.f.: A(x,y) = Sum_{n=-oo..+oo} (-1)^n * (x*y)^(n*(n+1)/2) * C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=81A355344
- Expansion of (1/x) * Series_Reversion( x / (1-x) * (1-x-x^2)^3 ).at n=6A369487
- Record high values of A379248.at n=55A379294
- Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k)^3.at n=10A392263