10296
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
- 48
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 22464
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 858
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 148
- Smith Number
- yes
- 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
- a(n) = (2n+3)!/(n!*(n+2)!).at n=5A000917
- a(n) = (7*n+1)*(7*n+6).at n=14A001526
- Degrees of irreducible representations of alternating group A_13.at n=45A003868
- Degrees of irreducible representations of symmetric group S_13.at n=80A003877
- Degrees of irreducible representations of symmetric group S_13.at n=81A003877
- Number of nonseparable toroidal tree-rooted maps with n + 2 edges and n + 1 vertices.at n=10A006414
- Imaginary part of (1+2i)^n.at n=12A006496
- a(n) = 2*n*(4*n - 1).at n=36A014635
- a(n) = [ 2nd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=33A025219
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=52A025504
- Shortest edge c of (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=24A031175
- a(n) = (3*n+1)*(4*n+1).at n=29A033577
- Triangle read by rows: T(k,j) = ((2*j+1)/(k+1))*binomial(2*j,j)*binomial(2*k-2*j,k-j).at n=47A033820
- Triangular numbers that have some nontrivial permutation of digits which is also triangular.at n=37A034291
- Smallest leg in right triangle with relatively prime sides and hypotenuse 5^n.at n=5A036842
- 1 / min{1/n - 1/a - 1/b > 0}, where a and b are integers.at n=10A045470
- a(n) = A045820(n)/2.at n=13A045822
- Distinct numbers in the triangle of denominators in Leibniz's Harmonic Triangle.at n=44A046202
- Distinct even numbers in the triangle of denominators in Leibniz's Harmonic Triangle.at n=34A046204
- Numbers to the right of the central elements in the triangle of denominators in Leibniz's Harmonic Triangle.at n=36A046207