7328
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14490
- Proper Divisor Sum (Aliquot Sum)
- 7162
- 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
- 3648
- Möbius Function
- 0
- Radical
- 458
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 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
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).at n=23A011939
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite HEU = Heulandite Ca4[Al8Si28O72].24H2O starting with a T3 atom.at n=12A019136
- 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 41.at n=37A031539
- Every run of digits of n in base 15 has length 2.at n=35A033013
- Number of partitions of n with equal number of parts congruent to each of 2 and 4 (mod 5).at n=41A035560
- Composite numbers whose prime factors contain no digits other than 2 and 9.at n=30A036313
- Positive integers with more base-15 runs of even length than odd.at n=37A044841
- a(1) = 1, a(2) = 1, a(3) = 1, a(n) = a(n-3) * (a(n-2) + a(n-1)).at n=9A048112
- Number of ways to place non-crossing diagonals in convex (n+4)-gon so as to create no triangles or quadrilaterals.at n=12A054514
- McKay-Thompson series of class 44A for Monster.at n=49A058679
- Number of partitions of n into squarefree parts.at n=39A073576
- Real part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=17A102531
- Coordination sequence for octagonal tiling is a(n)*sqrt(2) + A103909(n).at n=30A103908
- Coordination sequence for octagonal tiling is a(n) + A103908(n)*sqrt(2).at n=35A103909
- a(n) is the least k such that k*(k+1)*Mersenne-prime(n)+1 is prime.at n=23A104038
- Number of distinct values of Product_{p is in P} (m(p,P)+1) where m(p,P) is the multiplicity of part p in partition P, when P ranges over all partitions of n.at n=55A140312
- Partial sums of A005200.at n=9A173765
- G.f. A(x) satisfies: 1 = Sum_{n>=0} x^n*A(-x)^A003059(n+1), where A003059 is defined by "n appears 2n-1 times.".at n=13A193050
- Partial sums of the union of squares and triangular numbers.at n=46A193711
- Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=6A202162