17664
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 49056
- Proper Divisor Sum (Aliquot Sum)
- 31392
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5632
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 10
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 22
- Smith Number
- yes
- 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
- Trails of length n on honeycomb lattice.at n=14A006851
- Theta series of {D_6}* lattice.at n=47A008425
- XOR-convolution of squares A000290 with themselves.at n=30A033460
- Matrix inverse of triangle A055340(n+1,k).at n=56A055347
- Triangle read by rows: T(n,k) = Sum_{j=0..k-1} T(n,j) + Sum_{j=1..n-k} T(n-j,k), with T(0,0)=1 and T(n,k) = 0 for k > n.at n=48A059450
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k-3)-(k-3)*tau(k-3) where tau(k) = A000005(k) is the number of divisors of k.at n=36A067355
- Numbers n such that phi(n) is the sum of the first k divisors of n for some k.at n=20A072278
- a(n) = 2^(n-3)*(n^2+3*n+8).at n=10A072863
- XOR difference triangle, read by rows, of A099898 (in leftmost column) such that the main diagonal equals A099898 shift left and divided by 4.at n=33A099897
- Structured octagonal anti-prism numbers.at n=17A100184
- Number of catacondensed hexagonal systems with n hexagons.at n=10A121286
- Binomial transform of the "1,2,3,..." triangle.at n=55A125027
- Triangle read by rows: T(n,k) is the number of non-crossing connected graphs on n nodes on a circle in which the root (a distinguished node) has degree k (n >= 2, 1 <= k <= n-1).at n=42A143022
- 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), (-1, 0, 1), (0, 0, 1), (1, 0, 1), (1, 1, 0)}.at n=7A151125
- The fourth row of the ED2 array A167560.at n=15A167561
- Numbers of the form p^8*q*r where p, q, and r are distinct primes.at n=9A179747
- Number of 1:3:sqrt(10) proportioned triangles on a (n+1) X (n+1) grid.at n=16A190102
- a(n) = Product_{k>=1} floor(n^(1/k)).at n=68A190668
- Molecular topological indices of the complete tripartite graphs K_{n,n,n}.at n=7A192491
- (n-1)-st elementary symmetric function of the first n terms of the periodic sequence (1,1,1,2,1,1,1,2,...).at n=38A203234