7413
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11328
- Proper Divisor Sum (Aliquot Sum)
- 3915
- 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
- 4224
- Möbius Function
- -1
- Radical
- 7413
- 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
- 132
- 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
- no
- Odd
- yes
Appears in sequences
- Number of even permutations of length n with no fixed points.at n=8A003221
- Coefficients of the '2nd-order' mock theta function A(q).at n=33A006304
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=34A014088
- n written in fractional base 10/7.at n=33A024662
- Least term in period of continued fraction for sqrt(n) is 8.at n=23A031432
- Odd numbers with only palindromic prime factors whose sum is palindromic (counted with multiplicity).at n=22A046356
- Numbers of the form p*q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385).at n=31A046405
- A companion sequence to A011896.at n=48A055610
- Numbers k such that 5*2^k + 3 is prime.at n=44A058586
- Dimension of space of invariants of n-th tensor power of 7-dimensional irreducible representation of G_2. Also the number of n-leaf, otherwise trivalent graphs in a disk such that all faces have at least 6 sides.at n=10A059710
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^8)*(1-x^9)*(1-x^10)).at n=21A069956
- A monotonic doubly-fractal sequence. Erase the last (rightmost) digit of every integer: what is left is the sequence itself. The erased digits, one by one, form also the sequence itself.at n=33A127204
- Number of antichains in the first n elements of the infinite Boolean lattice.at n=30A132581
- First differences of A132581.at n=33A132582
- Triangle read by rows: T(n,k) is the number of even permutations (of an n-set) with exactly k fixed points.at n=36A145224
- Number of derangements on n elements with an even number of cycles.at n=8A216778
- Least number k such that (n!+k)/n and (n!-k)/n are both prime.at n=18A245697
- Smallest number x such that phi(x) = phi(x(n)), where x(n) is the n-th arithmetic derivatives of x and x is not equal to x(n).at n=11A246775
- Row sums of the array A274193, defined by g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,3k) for n > 0, k > 1.at n=31A274194
- Harary index of the n X n black bishop graph.at n=17A296198