9206
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13812
- Proper Divisor Sum (Aliquot Sum)
- 4606
- 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
- 4602
- Möbius Function
- 1
- Radical
- 9206
- 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
- 122
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=20A020421
- 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 94.at n=31A031592
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=33A063372
- Average of 4 primes where the integer Schwarzian derivative is zero.at n=10A094903
- Semiprimes in A103373.at n=17A103393
- Sum of the first 2n+1 primes.at n=32A109723
- Number of partitions with maximum rectangle n.at n=15A115724
- Matrix square, T(n,k), of Parker's partition triangle A047812, read by rows (n >= 1 and 0 <= k <= n-1).at n=32A128567
- Semiprimes in A007504 (the sum of first n primes).at n=19A189072
- a(0)=a(1)=1, a(n) = a(n-1) + a(a(n-2) mod n).at n=34A215525
- Numbers n such that 8^n - 5 is prime.at n=13A217356
- The number of permutations of length n sortable by 2 prefix block transpositions.at n=14A228394
- Number of partitions of n containing no part i of multiplicity i+1.at n=34A277099
- 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 149", based on the 5-celled von Neumann neighborhood.at n=26A279179
- The number of partitions of n which represent Chomp positions with Sprague-Grundy value 8.at n=52A284781
- Product_{n>=1} (1 + x^n)^a(n) = g.f. of A001147 (double factorial of odd numbers).at n=5A305870
- The sum S of the maximum number of consecutive primes starting with 2 such that S <= prime(n)^2.at n=24A346134
- G.f. (1-x) * Sum_{n>=0} x^n * (1 + x^n)^n / (1 + x^(n+1))^(n+1).at n=52A354247