17604
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 45920
- Proper Divisor Sum (Aliquot Sum)
- 28316
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5832
- Möbius Function
- 0
- Radical
- 978
- Omega Function (Ω)
- 6
- 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
- 141
- 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
- Numbers k such that k and 4*k are anagrams.at n=4A023088
- Numbers that are the sum of 3 positive cubes in exactly 3 ways.at n=6A025397
- Numbers that are the sum of 3 positive cubes in 3 or more ways.at n=7A025398
- Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways.at n=5A025401
- Numbers that are the sum of 3 distinct positive cubes in 3 or more ways.at n=6A025402
- a(n) = n^3 + (n+1)^3 + (n+2)^3.at n=17A027602
- Trajectory of 1 under map n->19n+1 if n odd, n->n/2 if n even.at n=28A033966
- Trajectory of 3 under map n->19n+1 if n odd, n->n/2 if n even.at n=19A037107
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048201.at n=28A048209
- Triangle read by rows: T(n,k) is number of Motzkin paths of length n having k UH's, where U=(1,1), H=(1,0) (0<=k<=floor(n/3)).at n=36A114576
- Site series for first parallel moment of 4.8 (bathroom tile) lattice.at n=25A120558
- 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, 1, -1), (1, 0, 1), (1, 1, -1)}.at n=8A149470
- a(n) = a(n-1) + a(n-2) - [a(n-3)/4] - [a(n-4)/2] - [a(n-5)/4].at n=31A173564
- Numbers that can be expressed as the sum of three nonnegative cubes in three ways.at n=10A219329
- Number A(n,k) of partitions of the k-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=59A237018
- Number of partitions of the 6-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes.at n=4A237021
- Number of partitions of n such that m(1) > m(3), where m = multiplicity.at n=38A240059
- a(n) = n*(n^2 - 3*n + 4).at n=27A242659
- Numbers x whose digits can be permuted to produce a multiple of x.at n=32A245680
- G.f. satisfies: A(x) = 1 / AGM(1, sqrt(1 - 16*x*A(x))).at n=4A247020