9957
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13280
- Proper Divisor Sum (Aliquot Sum)
- 3323
- 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
- 6636
- Möbius Function
- 1
- Radical
- 9957
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- 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 66.at n=31A031564
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=19A031903
- Partial sums of A000009 (partitions into distinct parts).at n=41A036469
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=45A050967
- Number of homeomorphically irreducible general graphs on 6 labeled node and with n edges.at n=5A060581
- a(n) = Sum_{d|n} d*prime(d).at n=41A061150
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=30A063058
- a(n) = 2*a(n-2)+4*a(n-4)+a(n-6), n>11.at n=22A107855
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3<=x^3+y^3.at n=25A211807
- Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 2 X n array.at n=12A219579
- Number of length n+2+2 0..2 arrays with every value 0..2 appearing at least once in every consecutive 2+3 elements, and new values 0..2 introduced in order.at n=7A242317
- T(n,k)=Number of length n+k+2 0..k arrays with every value 0..k appearing at least once in every consecutive k+3 elements, and new values 0..k introduced in order.at n=43A242322
- Number of length n+4 0..6 arrays with every five consecutive terms having four times some element equal to the sum of the remaining four.at n=7A249654
- Fixed points of permutations A263265 and A263266.at n=13A263281
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 627", based on the 5-celled von Neumann neighborhood.at n=20A273276
- Sum of the digit sums of the n-th powers of the first n positive integers.at n=43A287894
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=19A320717
- G.f. A(x) satisfies: Sum_{n>=0} (1+x)^(n^2) / (1 + A(x))^(n+1) = 1.at n=4A320949
- Consider a square drawn on the perimeter of a square lattice with side length n. a(n) is the number of regions inside the square after drawing unit circles centered at each interior lattice point of the square.at n=38A339623
- Number of integer partitions of n with non-biquanimous multiplicities.at n=35A371840