14820
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 47040
- Proper Divisor Sum (Aliquot Sum)
- 32220
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 7410
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- 164
- 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 n-dimensional hypotheses allowing for conditional independence.at n=7A005465
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=37A005996
- Sum along upward diagonal of Pascal triangle from (but not including) center.at n=25A010756
- Sum along upward diagonal of Pascal triangle from center.at n=25A010757
- a(n) = floor(n*(n-1)*(n-2)/4).at n=40A011886
- Number of partitions of n into parts of 13 kinds.at n=5A023011
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(2)=1 and a(3)=4.at n=14A024949
- a(n) = T(n, 2*n-7), T given by A027926.at n=12A027930
- a(n) = T(2n,n+4), T given by A027948.at n=4A027952
- Denominators of continued fraction convergents to sqrt(237).at n=9A041443
- Partial sums of A053308.at n=7A053309
- a(n) = n*(n+1)*(2*n+1).at n=19A055112
- Largest area of a Pythagorean triangle with n as length of one of the three sides (in fact as a leg).at n=36A055522
- Numbers k such that k | sigma_6(k).at n=42A055710
- Numbers k such that the sign of core(k)-phi(k) is not equal to 2*mu(k)^2-1, where core(k) is the squarefree part of k.at n=22A070237
- Product of prime divisors of composite numbers between consecutive primes.at n=11A074167
- (prime(n-1) + 1)*(prime(n+1) - 1).at n=29A087105
- a(n) = p*(p + 1)*(2*p + 1) where p is the n-th prime.at n=7A098996
- Central moment sequence of tr(A^2) in USp(4).at n=10A138351
- a(n) = 10*n*(n+1).at n=38A163761