9606
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19224
- Proper Divisor Sum (Aliquot Sum)
- 9618
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3200
- Möbius Function
- -1
- Radical
- 9606
- 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
- 166
- 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
- Expansion of 1/((1-2x)(1-7x)(1-9x)(1-12x)).at n=3A028011
- 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 98.at n=0A031596
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 98.at n=1A031776
- Decimal part of a(n)^(1/4) starts with reversal of its integer part: first term of runs.at n=8A034310
- Number of ternary cubefree words of length n.at n=9A051042
- Numbers k such that sigma(k) = phi(k+1) + phi(k) + phi(k-1).at n=11A065986
- Main diagonal of array A082224.at n=49A082227
- Number of partitions of n without rotational symmetry (or 1-fold symmetry).at n=32A085436
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=27A091332
- Numbers n such that the sum of the digits of n^phi(n) is divisible by n.at n=20A109660
- Denomination sequence. Start with the 0th and first coins of value 1 cent: a(0)=a(1)=1. Thereafter a(n), the value of the n-th coin (n>=2), is the number of ways to make change for n cents in earlier coins. The two one-cent coins are considered distinct.at n=47A151945
- Number of Dyck paths with no UUU's and no DDD's of semilength n and having k UUDD's (0<=k<=floor(n/2); U=(1,1), D=(1,-1)).at n=58A166284
- Coefficient of x^n in (x^2 + 98*x + 1)^n.at n=2A181553
- Number of (n+3) X 6 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=12A188099
- Numbers n such that there is no triangular n-gonal number greater than 1.at n=24A188892
- Numbers k such that sum of digits of k = sum of digits of anti-divisors of k.at n=8A213239
- Positive integers m such that pi(m^2) = pi(j^2) + pi(k^2) for no 0 < j <= k < m.at n=40A262408
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 94", based on the 5-celled von Neumann neighborhood.at n=31A270135
- Number of 2X2X2 triangular 0..n arrays with some element plus some adjacent element totalling n+1, n or n-1 exactly once.at n=34A270851
- Row sums of triangle A073165.at n=8A343032