5016
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 9384
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1440
- Möbius Function
- 0
- Radical
- 1254
- Omega Function (Ω)
- 6
- 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
- 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
- 134
- 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
- Expansion of Product_{k>=1} (1 - x^k)^12.at n=19A000735
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=46A001276
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=18A002413
- Numbers that are the sum of 9 positive 7th powers.at n=24A003376
- Cubes written in base 7.at n=11A004637
- a(n+1) = a(n)-th composite number, with a(0) = 1.at n=28A006508
- 4-dimensional analog of centered polygonal numbers. Also number of regions created by sides and diagonals of a convex n-gon in general position.at n=20A006522
- Coordination sequence T8 for Zeolite Code MFS.at n=44A008180
- Apply partial sum operator thrice to Stern's sequence.at n=11A014173
- Number of partitions of n into distinct parts, none being 8.at n=56A015755
- Numbers k such that d(k) (number of divisors) divides phi(k) (Euler function) divides sigma(k) (sum of divisors).at n=45A020493
- a(n) = S(n) + c(n) where S(n) = [ (3/2)^n ] and c is the complement of S.at n=20A022808
- Areas of right triangles with coprime integer sides.at n=30A024365
- Ordered areas of primitive Pythagorean triangles.at n=32A024406
- (d(n)-r(n))/5, where d = A026046 and r is the periodic sequence with fundamental period (1,0,4,0,0).at n=38A026048
- Expansion of 1/((1-x)^4*(1-x^2)^2).at n=15A028346
- 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 17.at n=34A031515
- a(n) = (2*n - 1)*(3*n + 1).at n=29A033569
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=32A043293
- a(n) = floor(47*(n-3/2)^(3/2)).at n=22A050256