10804
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19684
- Proper Divisor Sum (Aliquot Sum)
- 8880
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 5402
- Omega Function (Ω)
- 4
- 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
- 117
- 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
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=39A005892
- (1/1 - 1/3 + 1/6 + ... + d/C(n+1,2))*LCM{1,3,6,...,C(n+1,2)}, where d = (-1)^n.at n=10A025559
- Numbers whose base-7 representation contains exactly four 3's.at n=27A043408
- Numbers that divide the sum of cubes of their divisors.at n=35A046763
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives j values.at n=41A053720
- Numbers n such that n | sigma_12(n).at n=18A055716
- 4 times hexagonal numbers: a(n) = 4*n*(2*n-1).at n=37A085250
- Number of ordered Goldbach partitions of 10^n.at n=5A107318
- Number of squares on infinite chessboard that a knight can reach in n moves from a fixed square.at n=39A118312
- a(n) = 7*n^2 + 4*n + 1.at n=40A135704
- 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), (-1, 1, -1), (1, -1, 1), (1, 1, 0)}.at n=8A149223
- Numbers n with property that A077116(n) is nonzero square.at n=42A154101
- Number of peaks at odd level in all Dyck paths of semilength n that have no ascents and no descents of length 1.at n=14A167636
- Number of lower triangles of an n X n 0..6 array with each element differing from all of its horizontal and vertical neighbors by one.at n=4A194996
- T(n,k)=Number of lower triangles of an n X n 0..k array with each element differing from all of its horizontal and vertical neighbors by one.at n=49A194998
- Number of lower triangles of a 5 X 5 0..n array with each element differing from all of its horizontal and vertical neighbors by one.at n=5A195001
- Number of nX2 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=4A203391
- Number of nX5 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=1A203394
- T(n,k)=Number of nXk 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=16A203397
- T(n,k)=Number of nXk 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=19A203397