7296
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
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 20400
- Proper Divisor Sum (Aliquot Sum)
- 13104
- 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
- 2304
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 9
- 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
- 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
- Number of rooted polyhedral graphs with n edges.at n=9A000287
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=17A005718
- Numbers n such that n is a substring of its square in base 6 (written in base 10).at n=33A018830
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=31A032246
- Every run of digits of n in base 15 has length 2.at n=33A033013
- Product of the lengths of the cycle types of the permutation created by length sorting on the partitions of n.at n=15A036052
- Product of order of cycles of the permutation created by length sorting on the partitions of n.at n=14A036053
- Positive integers with more base-15 runs of even length than odd.at n=35A044841
- Numbers that are divisible by exactly 9 primes with multiplicity.at n=32A046312
- A convolution triangle of numbers generalizing Pascal's triangle A007318.at n=41A049325
- McKay-Thompson series of class 32A for Monster.at n=34A058629
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,15.at n=22A064244
- Values of n such that N=(an+1)(bn+1)(cn+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,35.at n=5A064254
- Multiples of 24 whose digits also sum to 24.at n=23A066270
- Numbers k such that the sum of the digits of k equals the sum of the prime divisors of k.at n=31A070275
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=41A073713
- Expansion of 1/(1 - 2*x + 2*x^2 - 2*x^3).at n=21A077943
- Continued fraction expansion of Product_{p prime} (1 - 1/(p^4*(p+1))).at n=50A078084
- Numbers n in which the first k digits of n form an integer divisible by k^3, for k = 1, 2, ..., m, where m is the number of digits in n.at n=30A079041
- a(n) = n-th multiple of n with digit sum n.at n=23A082260