7368
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18480
- Proper Divisor Sum (Aliquot Sum)
- 11112
- 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
- 2448
- Möbius Function
- 0
- Radical
- 1842
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- Coefficients in the series (1 + 2x^2 + 3x^3 + 5x^5 + 7x^7 + 11x^11 + 13x^13 + ... )/(1 - x - 4x^4 - 6x^6 - 8x^8 - 9x^9 - 10x^10 - 12x^12 - 14x^14 - ... ).at n=14A058356
- Multiples of 24 whose digits also sum to 24.at n=24A066270
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 92.at n=2A093292
- Expansion of (b(q^6) * c(q^6)) / (b(q^3) * c(q^3)) in powers of q where b(), c() are cubic AGM theta functions.at n=21A102315
- Numbers m for which Sum_digits(m!) is a multiple of Sum_digits(m!!).at n=42A135206
- a(n) = 4*n^2 + 24*n + 8.at n=39A153642
- Numbers k such that k^3 +-5 are primes.at n=33A176684
- Smallest a(n) such that the prime factorization of a(n)! contains at least one factor to each exponent between 1 and n.at n=33A177442
- a(n) = n*(2^n - n + 1) + 2^(n-1)*(n^2 - 3*n + 2).at n=7A191821
- Number of lower triangles of a 4 X 4 0..n array with each element differing from all of its horizontal and vertical neighbors by one.at n=35A195000
- Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4.at n=6A196713
- Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4.at n=2A196717
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4.at n=38A196718
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4.at n=42A196718
- Sigma(n) values in A115920.at n=11A216372
- G.f.: Product_{n>=1} ((1-x^n)/(1+x^n))^(2*n).at n=19A216406
- n - (sum of prime factors of n) is a positive square.at n=37A216894
- Number of partitions of n having standard deviation σ > 2.at n=32A238661
- Number of partitions of n such that the sum of squares of the parts is a square.at n=52A240127
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any horizontal, vertical, diagonal or antidiagonal neighbor equal to n-1.at n=25A266208