10216
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19170
- Proper Divisor Sum (Aliquot Sum)
- 8954
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5104
- Möbius Function
- 0
- Radical
- 2554
- 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
- 60
- 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 the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 49.at n=38A031547
- Number of partitions of n into parts not of the form 11k, 11k+2 or 11k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 4 are greater than 1.at n=42A035945
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=12A045247
- a(n) = n*(5*n^2 - 3)/2.at n=16A063522
- Total number of odd blocks in all partitions of n-set.at n=7A102286
- Numbers n such that a^r + b^r + c^r + ... is prime, where a*b*c* ... is the prime factorization of n and r is the product of the nonzero digits of n.at n=45A108697
- Triangle read by rows: T(n,k) (0 <= k <= ceiling(n/2)-1) is the number of (1,0) steps at level k in all peakless Motzkin paths of length n (can be easily translated into RNA secondary structure terminology).at n=52A110237
- A bisection of A063522.at n=8A160699
- a(n) = 4*a(n-1) + 2*a(n-2) for n > 1; a(0) = 1, a(1) = 6.at n=6A164549
- Number of 3-step one or two space at a time bishop's tours on an n X n board summed over all starting positions.at n=15A187047
- Number of 0..n arrays x(0..3) of 4 elements without any interior element greater than both neighbors or less than both neighbors.at n=14A200872
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2|x-y|-|y-z|.at n=24A212577
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 502", based on the 5-celled von Neumann neighborhood.at n=27A272579
- Number of little cubes visible around an n X n X n cube with a face on a table.at n=45A273982
- Numbers whose sum of anti-divisors is equal to the sum of its unitary divisors.at n=14A273992
- G.f.: Product_{m>0} (1+x^m+2!*x^(2*m)).at n=36A293204
- Number of permutations of [n] avoiding {4231, 1243, 1234}.at n=10A294762
- Discriminants of imaginary quadratic fields with class number 38 (negated).at n=28A351676
- Number of vertices in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts.at n=51A357060