10504
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21420
- Proper Divisor Sum (Aliquot Sum)
- 10916
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 2626
- Omega Function (Ω)
- 5
- 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
- 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
- a(n) = (5*n+1)*(5*n+4).at n=20A001545
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=52A026036
- Triangle T(n,m) = Sum_{k=0..m} Catalan(n-k)*Catalan(k).at n=52A028364
- Concatenate rows of triangle in A028364 (removing duplicates).at n=44A028378
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 51.at n=28A031549
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=10A033829
- Decimal part of cube root of n starts with 9: first term of runs.at n=20A034135
- Denominators of continued fraction convergents to sqrt(453).at n=6A041863
- Base-7 palindromes that start with 4.at n=34A043018
- a(n) = T(n,n-4), array T as in A055807.at n=35A055809
- Number of ways to color vertices of a pentagon using <= n colors, allowing rotations and reflections.at n=10A060446
- Catalan triangle A028364 with row reversion.at n=47A067323
- Third column of triangle A067323.at n=7A067324
- Numbers n such that A065863(n) = 1, i.e., prime(n) mod (n - Pi(n)) = 1.at n=22A072623
- Least m such that both p|m and p+2|m+2 for twin prime pairs (p,p+2) (p=A001359).at n=8A097972
- a(n) = prime(n)*(prime(n+1) + 1).at n=25A123134
- a(n) = n^4 + 5*n^2 + 4.at n=10A156798
- Number of line segments connecting exactly 5 points in an n x n grid of points.at n=26A177721
- Riordan array ( (1+x)/(1-x-x^2), x*A000108(x) ).at n=56A185675
- Number of isomorphism classes of simply embedded (i.e., loop-free and without parallel edges bounding a disk) quadrangulations of RP^2 of minimum degree 3 with n nodes and n-1 faces.at n=11A187013