7616
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 18288
- Proper Divisor Sum (Aliquot Sum)
- 10672
- 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
- 3072
- Möbius Function
- 0
- Radical
- 238
- Omega Function (Ω)
- 8
- 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
- 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 acyclic ketone and aldehyde stereo-isomers with n carbon atoms.at n=11A005957
- Exponential self-convolution of Pell numbers.at n=7A006646
- tan(sec(x)*arcsin(x))=x+6/3!*x^3+140/5!*x^5+7616/7!*x^7+731856/9!*x^9...at n=3A012785
- a(n) = (1/12)*(n+5)*(n+1)*n^2.at n=16A014205
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (3,k)-perfect numbers.at n=17A019292
- Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer.at n=18A032795
- Erroneous version of A000109.at n=9A049338
- Partial sums of A051865.at n=16A050441
- Numbers k such that 5*3^k - 2 is prime.at n=25A058591
- Numbers n such that n | p(n)*q(n), where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=45A060744
- a(n) = 7*n^2 + 14*n.at n=31A067727
- 1/6 the number of colorings of a 4 X 4 rhombic- or staggered- hexagonal array with n colors.at n=1A068245
- Half the number of 7 X n binary arrays with no path of adjacent 1's or adjacent 0's from top row to bottom row.at n=1A069433
- Half the number of n X 2 binary arrays with no path of adjacent 1's or adjacent 0's from top row to bottom row.at n=6A069440
- Omega(n) = Omega(n-1)^3, where Omega(m) (A001222) denotes the number of prime factors of m, counting multiplicity.at n=29A076155
- Matrix product of Stirling1-triangle A008275(n,k) and unsigned Lah-triangle |A008297(n,k)|.at n=30A079639
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=35A080392
- Expansion of 1/((1 - 2*x)*sqrt(1 - 4*x)).at n=7A082590
- a(n) = 15n^2 + 13n^3.at n=8A085377
- If p(x) is the x-th prime, then the n-th set of 4 consecutive sexy prime pairs starts at p(a(n)).at n=11A095963