7679
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8784
- Proper Divisor Sum (Aliquot Sum)
- 1105
- 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
- 6576
- Möbius Function
- 1
- Radical
- 7679
- Omega Function (Ω)
- 2
- 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
- 114
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = (F(2n+1) + F(2n-1) + F(n+3) - 2)/2, where F() = Fibonacci numbers A000045.at n=9A005593
- Numbers k such that Fib(k) == -13 (mod k).at n=30A023167
- 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 87.at n=11A031585
- Sums of 12 distinct powers of 2.at n=3A038463
- Numbers having three 7's in base 8.at n=34A043451
- a(1) = 5; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=46A046255
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048201.at n=21A048209
- Number of self-complementary types of Boolean functions of n variables under action of AG(n,2).at n=5A053037
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=33A055468
- Number of 2-input gates used to synthesize parity function in disjunctive normal form (DNF) with n inputs.at n=9A074494
- a(1)=4, then least semiprime > a(n-1) such that when all in the sequence are concatenated together they form a prime.at n=27A085703
- Smallest number that can be written in binary representation as concatenation of other primes in exactly n ways.at n=44A090424
- Triangle read by rows: T(n,k) is the number of directed column-convex polyominoes of area n and height k (1<=k<=n; here by the height of a polyomino one means the number of lines of slope -1 that pass through the centers of the polyomino cells).at n=75A121298
- G.f. x^2*(1-5*x)/(1-12*x+15*x^2-2*x^3).at n=5A122010
- Numbers k such that A098572(k) - A098572(k-1) = 2.at n=40A133497
- A sequence of asymptotic density zeta(10) - 1, where zeta is the Riemann zeta function.at n=7A143036
- Ulam's spiral (NNE spoke).at n=22A143861
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 01010-11111 pattern in any orientation.at n=11A147062
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 01010-11111 pattern in any orientation.at n=25A147064
- Positive numbers y such that y^2 is of the form x^2+(x+2401)^2 with integer x.at n=11A157247