7692
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
- 12
- Divisor Sum
- 17976
- Proper Divisor Sum (Aliquot Sum)
- 10284
- 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
- 2560
- Möbius Function
- 0
- Radical
- 3846
- Omega Function (Ω)
- 4
- 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
- 52
- 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
- Pisot sequence P(7,11), a(0)=7, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Agrees with A021014 only for n <= 20.at n=16A021013
- a(n)=a(n-1)+a(n-2)-a(n-4)+a(n-5).at n=16A021014
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric of S(n)) ], where S(n) = {3,4, ..., n+5}.at n=20A024194
- Least k>1 such that reverse of first n terms of A006928 repeats beginning at k-th term.at n=47A025509
- Least k>1 such that reverse of first n terms of A022303 repeats beginning at k-th term.at n=41A025520
- a(n) = floor(10^5/n).at n=12A033427
- Number of unlabeled 4-ary cacti having n polygons.at n=7A052394
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=40A052477
- Hankel transform of number of divisors sequence (A000005).at n=22A056225
- Numbers k such that k^128 + 1 is prime.at n=20A056994
- Integer part of (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=47A062492
- Numbers k such that the digits of k joined to the digits of 2k contain each of the digits from 1 to 9 once.at n=6A064160
- Number of binary strings of length n with no substrings equal to 0011 0101 or 1100.at n=15A164505
- Numbers such that n^2 = 29 mod 1193.at n=12A165989
- Triangle T(n,k), read by rows n>=0 with terms k=1..3^n, where row n lists the coefficients in the n-th iteration of x*(1+x)^2.at n=45A166888
- Number of compositions of n such that the smallest part is divisible by the number of parts.at n=42A171628
- Number of isomorphism classes of nanocones with 3 pentagons and a symmetric boundary of length n.at n=40A197988
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 545", based on the 5-celled von Neumann neighborhood.at n=19A283011
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 801", based on the 5-celled von Neumann neighborhood.at n=19A284135
- Expansion of (eta(q)*eta(q^3))/eta(q^2)^2 in powers of q.at n=42A293306