9658
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15840
- Proper Divisor Sum (Aliquot Sum)
- 6182
- 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
- 4380
- Möbius Function
- -1
- Radical
- 9658
- 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
- 73
- 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
- yes
- Odd
- no
Appears in sequences
- A generalized partition function.at n=16A002600
- Number of nonequivalent dissections of a polygon into n quadrilaterals by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=7A005035
- Fibonacci sequence beginning 1, 25.at n=14A022395
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=43A024312
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=42A024875
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=37A063358
- a(1) = 1; a(n) = a(n-1)-th nontotient number.at n=5A071573
- a(1) = 932; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=27A105213
- Number of partitions of n into at least two parts such that the product of largest and smallest part does not exceed n.at n=33A116901
- Numbers k such that tau(k) = tau(k+1) mod 691, where tau is Ramanujan's tau function A000594.at n=11A121733
- Number of primes between (prime(n + 1))^Pi and (prime(n))^Pi.at n=27A137380
- Number of ways of placing kings with no more than 1 mutual attack on an n X n chessboard symmetric about both diagonal and antidiagonal.at n=10A143873
- n*(n^2-2*n-1).at n=21A214446
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 22", based on the 5-celled von Neumann neighborhood.at n=35A269717
- Numbers k such that (7*10^k - 13)/3 is prime.at n=23A273924
- Self-composition of the repunits; g.f.: A(x) = G(G(x)), where G(x) = g.f. of A002275.at n=4A276644
- a(n) = 12*n^2 + 10*n - 30.at n=28A277982
- Array read by antidiagonals: T(n,k) = number of nonequivalent dissections of a polygon into n k-gons by nonintersecting diagonals rooted at a cell up to rotation and reflection (k >= 3).at n=43A295259
- Number of integer partitions of n whose Heinz number (product of primes of parts) is divisible by all parts.at n=41A330952
- Numbers k such that prime(k) is the hypotenuse of a Pythagorean triple where one leg is also prime.at n=18A342583