7336
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15840
- Proper Divisor Sum (Aliquot Sum)
- 8504
- 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
- 3120
- Möbius Function
- 0
- Radical
- 1834
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Numbers that are the sum of 11 positive 8th powers.at n=15A003389
- Expansion of 1 / Sum_{n=-oo..oo} x^(n^2).at n=20A004402
- a(n) = (n^3 + 2*n)/3.at n=28A006527
- Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined.at n=20A015128
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=51A026062
- Numerators of continued fraction convergents to sqrt(868).at n=3A042676
- Normalized extreme values for "3x+1" trees of depth n.at n=28A045476
- Triangle of coefficients of polynomials enumerating trees with n labeled nodes by inversions.at n=53A052121
- Number of nonisomorphic connected n-state automata with binary inputs and outputs.at n=2A054053
- (1/2)*(n^2+n+2)*(n^2+3*n+1).at n=10A058310
- 63-gonal numbers: a(n) = n*(61*n - 59)/2.at n=16A098140
- Row sums of triangle A099512, so that a(n) = Sum_{k=0..n} coefficient of z^k in (1 + 3*z + z^2)^(n-[k/2]), where [k/2] is the integer floor of k/2.at n=8A099513
- Antidiagonal sums in A101321.at n=20A101338
- Expansion of x*(1-x)/(1-x+2*x^3-x^4).at n=49A104554
- Shadow of N (natural numbers), also of Champernowne's shadow.at n=47A110623
- Number of integer-sided hexagons having perimeter n.at n=28A124286
- Triangle of coefficients of q in e.g.f. that satisfies: A(x,q) = exp( q*x*A(q*x,q) ), read by rows of [n*(n-1)/2 + 1] terms in row n for n>=0.at n=67A126265
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k UUDU's starting at level 0.at n=43A135330
- Number of nX2 1..4 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in increasing order.at n=7A166815
- One third of product plus sum of three consecutive nonnegative integers; a(n)=(n+1)(n^2+2n+3)/3.at n=27A167875