7330
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13212
- Proper Divisor Sum (Aliquot Sum)
- 5882
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2928
- Möbius Function
- -1
- Radical
- 7330
- Omega Function (Ω)
- 3
- 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
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 asymmetrical dissections of n-gon.at n=7A000131
- Numbers that are the sum of 10 positive 7th powers.at n=36A003377
- Numbers that are the sum of 5 nonzero 8th powers.at n=9A003383
- Numbers that are the sum of at most 5 nonzero 8th powers.at n=34A004878
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T1 atom.at n=12A019083
- Number of symmetrically inequivalent coincidence rotations of icosian ring of index n.at n=63A031366
- Smallest number > 1 equal to sum of n-th powers of its base-4 digits, or 0 if no such number exists (written in base 10).at n=7A033836
- Sums of 6 distinct powers of 3.at n=34A038468
- Number of partitions of n into a prime number of parts.at n=37A038499
- Sum{T(i,n-i): i=0,1,...,n}, array T as in A047110.at n=14A047111
- Number of partitions of n into at most 1 copy of 1, 2 copies of 2, 3 copies of 3, ... .at n=41A052335
- Number of symmetric nonnegative integer 7 X 7 matrices with sum of elements equal to 4*n, under action of dihedral group D_4.at n=8A054497
- Number of staircase polygons of perimeter 2n with 2 (staircase polygon) holes on square lattice (not allowing rotations).at n=3A057411
- Euler transform of Euler totient function phi(n), cf. A000010.at n=19A061255
- Rounded total surface area of a regular octahedron with edge length n.at n=46A071396
- Numbers k such that (phi(k-2) + phi(k+2))/2 = phi(k); 2-phi/balanced numbers.at n=19A099633
- Sum of the areas of the Durfee squares of all partitions of n.at n=21A116503
- Eigenvector of the triangle of distinct partitions (A008289), so that: a(n) = Sum_{k=1..tri(n)} A008289(n,k)*a(k) for n>=1 with a(1)=1, where tri(n) = floor((sqrt(8*n+1)-1)/2).at n=44A118399
- a(n) = 169*n^2 - 140*n + 29.at n=6A156639
- Base 4 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-4 digits, for some k.at n=29A162219