7350
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
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 21204
- Proper Divisor Sum (Aliquot Sum)
- 13854
- 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
- 1680
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 101
- 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 of Laguerre polynomials.at n=3A001811
- Number of loopless tree-rooted planar maps with 4 vertices and n faces.at n=4A006429
- Number of loopless tree-rooted planar maps with 5 vertices and n faces and no isthmuses.at n=3A006430
- Number of connected trivalent graphs with 2n nodes and girth exactly 4.at n=9A006924
- Theta series of A_6 lattice.at n=12A008446
- Theta series of A_6 lattice.at n=13A008446
- Coordination sequence for Cr3Si, Cr position.at n=22A009928
- Triangle of coefficients in expansion of (5+7x)^n.at n=12A013626
- Triangle of coefficients of Laguerre polynomials n!*L_n(x) (rising powers of x).at n=32A021009
- Triangle of coefficients of Laguerre polynomials L_n(x) (powers of x in decreasing order).at n=31A021010
- a(n) = 5*(n+1)*binomial(n+4,6).at n=4A027802
- a(n) = 35*(n+1)*binomial(n+4, 7)/4.at n=3A027803
- a(n) = 6*n^2.at n=35A033581
- Sparsely totient numbers; numbers n such that m > n implies phi(m) > phi(n).at n=44A036913
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*5^j.at n=12A038271
- Numbers having three 6's in base 8.at n=36A043447
- Triangle read by rows: T(n, k) = [z^k] P(n, z) where P(n, z) = Sum_{k=0..n} binomial(n, k) * Pochhammer(n - k + c, k) * z^k / k! and c = 4.at n=32A062145
- Table M(n,b) (columns: n >= 1, rows: b >= 0) gives the number of site swap juggling patterns with exact period n, using exactly b balls, where cyclic shifts are not counted as distinct.at n=58A065177
- Number of site swap patterns with 3 balls and exact period n.at n=7A065179
- Integers which have at least two different factorizations into coprime parts whose sum are equal.at n=28A069064