7424
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 15330
- Proper Divisor Sum (Aliquot Sum)
- 7906
- 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
- 3584
- Möbius Function
- 0
- Radical
- 58
- Omega Function (Ω)
- 9
- 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
- 26
- 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 tree-rooted toroidal maps with 2 faces and n vertices and without separating loops or isthmuses.at n=3A006434
- a(n) = (2*n - 3)n^2.at n=16A015238
- Numbers that are the sum of 4 nonzero squares in exactly 2 ways.at n=53A025358
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=25A026040
- 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 43.at n=17A031541
- Numbers k such that 163*2^k+1 is prime.at n=32A032458
- Theta series of lattice D3 tensor D3* (dimension 9, det. 262144, min. norm 6).at n=18A033694
- Composite numbers whose prime factors contain no digits other than 2 and 9.at n=31A036313
- Numbers that are divisible by exactly 9 primes with multiplicity.at n=33A046312
- n is divisible by the 4th power of the number of unitary divisors of n (A034444).at n=31A048170
- a(n) = 2^n*(binomial(n,2) + 1).at n=8A052481
- a(n) = (3*n-1) * 2^(n-2).at n=9A053220
- Number of atoms in cluster of n layers around C_60.at n=12A063498
- Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=34A064803
- Sum of all partitions of n into distinct parts.at n=29A066189
- Arithmetic derivatives of 3-smooth numbers.at n=44A067371
- a(0) = 1; for n>0, a(n) = number of distinct sums of subsets of {1, 1/2, 1/3, 1/4, ..., 1/n} (allowing the empty subset).at n=14A072207
- a(n) = 2^(n-3)*(n^2+3*n+8).at n=9A072863
- Even numbers such that all a(i) + a(j) are distinct.at n=46A080432
- a(n)=(-1)^(n+1)*det(M(n)) where M(n) is the n X n matrix M(i,j)=min(abs(i-j),i).at n=12A080692