10288
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 19964
- Proper Divisor Sum (Aliquot Sum)
- 9676
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5136
- Möbius Function
- 0
- Radical
- 1286
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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 6!*(2*k-7)!/(k!*(k-1)!) is an integer.at n=11A004786
- Numbers k such that 7!*(2k-8)!/(k!*(k-1)!) is an integer.at n=13A004787
- Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.at n=19A027672
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 5).at n=54A035575
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 5).at n=59A035583
- Dimensions of graded algebra associated with meanders.at n=7A060111
- a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000).at n=13A096973
- Number of n X n binary matrices, symmetric under 180 degree rotation, with rows, considered as binary numbers, in nondecreasing order.at n=7A141048
- Numbers n such that prime[(n + 1)^2] - prime[n^2] is a perfect cube.at n=1A145317
- Triangular array: the fission of ((x+2)^n) by ((x+1)^n).at n=24A193846
- Mirror of the triangle A193846.at n=24A193847
- Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order.at n=7A204276
- n^3 + floor(n^3/2).at n=18A211786
- Number of nX2 arrays of permutations of 0..n*2-1 with each element moved a city block distance of 0 or 3.at n=7A263440
- T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with each element moved a city block distance of 0 or 3.at n=37A263442
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 494", based on the 5-celled von Neumann neighborhood.at n=30A272548
- Numbers k for which 4^k - 27 is prime.at n=20A274519
- Number of partitions of n that contain exactly one isolated singleton.at n=15A303587
- Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=6A303619
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=42A303624