10492
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19096
- Proper Divisor Sum (Aliquot Sum)
- 8604
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 5246
- 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
- 104
- 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
- Sort-then-add sequence: a(n+1) = a(n) + sort(a(n)).at n=16A033860
- Sort then Add, a(1)=25.at n=12A033902
- Sort then Add, a(1)=32.at n=11A033907
- Numbers k such that 233*2^k-1 is prime.at n=18A050868
- Expansion of (1-x)^(-1)/(1+x-2*x^3).at n=29A077904
- Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 010 (n,k >= 0).at n=58A118429
- Number of binary sequences of length n containing exactly one subsequence 010.at n=15A118430
- Expansion of x/((1-x)^3*(1-x^2)^3*(1-x^3)).at n=18A164680
- A transform of the central binomial coefficients.at n=9A165431
- G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E_6.at n=30A210634
- Number of 4 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.at n=19A224040
- Number of permutations p of [n] such that |p(i) - p(i-1)| is in {1,3} for all i from 2 to n.at n=18A302118
- Partial sums of A175046.at n=38A324127
- Expansion of Product_{k>=1} (1 - Sum_{j>=1} j * x^(k*j)).at n=33A329157
- Table read by rows: T(n,k) = number of k-sided polygons in an equal-armed cross with arms of length n (see Comments in A331456 for definition) for k = 3,4,5,6,7.at n=31A333037
- Consider a square drawn on the perimeter of a square lattice with side length n. a(n) is the number of regions inside the square after drawing unit circles centered at each interior lattice point of the square.at n=39A339623
- Expansion of g.f. A(x) satisfying A(x) = 1 + x*(A(x)^2 - A(-x)^2)/2 + x*(A(x)^4 + A(-x)^4)/2.at n=7A368628