10633
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
- 8
- Divisor Sum
- 12800
- Proper Divisor Sum (Aliquot Sum)
- 2167
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8820
- Möbius Function
- 0
- Radical
- 217
- Omega Function (Ω)
- 4
- 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
- 148
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=28A020433
- a(n) = (2*n+1)*(9*n+1).at n=24A033573
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,1.at n=5A037539
- 7th binomial transform of (1,6,0,0,0,0,0,0,...).at n=4A081042
- Triangle, read by rows, such that T(n,k) = T(n-1,k-1) + [T^2](n-2,k-1) with T(n,0) = T(n,n) = 1 for n>=0, k>=0.at n=59A113983
- Column 4 of triangle A113983; also a(n) = A113983(n+3,3) + [A113983^2](n+2,3).at n=6A113987
- "Model 1" for number of free alkanes on n points.at n=9A126939
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k base pyramids.at n=46A129165
- Number of n X 3 binary arrays with all 1s connected and a path of 1s from top row to lower right corner.at n=5A163012
- Number of n X 6 binary arrays with all 1s connected and a path of 1s from left column to lower right corner.at n=2A163023
- Triangle read by rows in which row n lists n+1 terms, starting with n^4 and ending with n^5, such that the difference between successive terms is equal to n^4 - n^3.at n=32A163284
- Numbers having exactly four representations by the quadratic form x^2+xy+y^2 with 0<=x<=y.at n=29A198775
- Number of nX1 0..4 arrays with every element value z a city block distance of exactly z from another element value z.at n=10A209717
- 50k^2-40k-17 interleaved with 50k^2+10k+13 for k=>0.at n=30A217893
- Number of solutions to x^7 + y^7 = z^7 mod n.at n=48A288102
- Numbers k such that k!6 - 18 is prime, where k!6 is the sextuple factorial number (A085158).at n=29A289696
- Number of nX7 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=7A304009
- Number of non-constant integer partitions of n whose length and maximum both divide n.at n=56A326852
- Expansion of Product_{i>=1, j>=0} (1 + x^(i * 3^j)).at n=43A327726
- INVERT transform of the binary weight.at n=13A341020