10728
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
- 29250
- Proper Divisor Sum (Aliquot Sum)
- 18522
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3552
- Möbius Function
- 0
- Radical
- 894
- 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
- 73
- 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
- Number of partitions into non-integral powers.at n=39A000327
- Coordination sequence for sigma-CrFe, Position Xf.at n=26A009958
- Array giving susceptibility of 2-dimensional Ising model for 1 particle excitation (read by antidiagonals).at n=60A055921
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=14A063048
- Concatenation of n-th prime and n in decimal notation.at n=27A075110
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=15A088753
- Row sums of A092821.at n=8A092822
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=39A104809
- The number of reachable states in a simple two-player counting game, in which each player starts with the pair (1,1) and one move is to add one of the opponent's numbers to one of your own numbers, but no number can grow above a pre-defined maximum n. The game continues until one of the players has no legal moves left. The winner is the one having the higher sum of his numbers.at n=16A161531
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=28A175534
- Number of strings of numbers x(i=1..n) in 0..3 with sum i^2*x(i)^2 equal to n^2*9.at n=12A184234
- Number of (w,x,y,z) with all terms in {1,...,n} and median=mean.at n=18A212133
- Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 4 array.at n=37A219498
- Records in A224796.at n=22A224719
- Number of nX3 arrays containing 3 copies of 0..n-1 with no equal horizontal or vertical neighbors.at n=3A264953
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal or vertical neighbors.at n=18A264954
- Number of 4 X n arrays containing n copies of 0..4-1 with no equal horizontal or vertical neighbors.at n=2A264956
- a(n), n>1, is the smallest number k whose symmetric representation of sigma(k) has two parts and has a larger number of legs in its two parts than a(n-1); a(1)=3.at n=22A279105
- Number of heptagons that can be formed with perimeter n.at n=46A288253
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome and does not join the trajectory or one of the reverse numbers of the trajectory of any term m < k.at n=14A306232