10415
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12504
- Proper Divisor Sum (Aliquot Sum)
- 2089
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8328
- Möbius Function
- 1
- Radical
- 10415
- Omega Function (Ω)
- 2
- 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
- 254
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= n/3.at n=17A047198
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n+1)/3.at n=17A048043
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n+2)/3.at n=17A048076
- T(2n+5,n), where T is the array in A055830.at n=4A055839
- Number of Motzkin paths of length n having no consecutive (1,0) steps.at n=13A104545
- a(n) = 4*n^3 - 3*n^2 + 2*n - 1.at n=13A131464
- Expansion of g.f.: (1-2*x-sqrt(1-4*x+8*x^3-4*x^4))/(2*x^2*(1-x)).at n=10A135052
- Numbers that are the product of two distinct primes and they are partial sum of products of two distinct primes.at n=25A168476
- a(n) = n^2 + a(n-1), with a(1)=0.at n=30A168559
- Riordan array ( (1+x)/(1-x-x^2), x*A000108(x) ).at n=57A185675
- Dispersion of A008851, (numbers >1 and congruent to 0 or 1 mod 5), by antidiagonals.at n=56A191722
- a(n) = 6*n^2 + 8*n + 1.at n=41A239325
- Least number k such that k^n + n and k^n - n are both prime, or 0 if no such number exists.at n=23A239475
- Triangle read by rows: T(n,k) = number of column-convex polyominoes with perimeter n and k columns (1 <= k <= n).at n=32A259332
- Numbers that are equal to the sum of the number of divisors of their k first powers, for some k.at n=15A270389
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 801", based on the 5-celled von Neumann neighborhood.at n=21A273575
- Numerators of continued fraction convergents to sqrt(7)/2.at n=6A294972
- a(n) = ceiling(sqrt(2*a(n-1)*a(n-2))), a(1) = a(2) = 1.at n=38A318053
- Numbers m such that m^2+1 is semiprime with (m-1)^2+1 and (m+1)^2+1 primes.at n=24A321985