9713
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10608
- Proper Divisor Sum (Aliquot Sum)
- 895
- 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
- 8820
- Möbius Function
- 1
- Radical
- 9713
- 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
- 47
- 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
- Generalized ballot numbers (first differences of Motzkin numbers).at n=11A002026
- Molien series for complete weight enumerator of self-dual code over GF(5) containing all-1's vector.at n=16A028345
- Numbers k such that k | 4^k + 3^k + 2^k.at n=14A057238
- Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes.at n=40A097870
- Expansion of (1-x)*c(x/(1+x)), where c(x) is the g.f. of the Catalan numbers (A000108).at n=13A105695
- Triangle read by rows: T(n,k) is the number of short bushes with n edges and having the leftmost leaf at height k (a short bush is an ordered tree with no nodes of outdegree 1).at n=43A106489
- Where records occur in A111390.at n=34A114111
- a(0) = 0; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any two consecutive digits in the sequence is a prime.at n=21A152136
- a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any two consecutive digits in the sequence is a prime.at n=20A152607
- Numbers that are the product of two distinct primes a and b, such that a^3+b^3 is the average of a twin prime pair.at n=32A176876
- Odd numbers k which satisfy the congruence 5^(2k-1) == 3^(2k-1) (mod 2k).at n=3A215738
- a(n) is the number of terms in the expansion of (x-y)(x^3-y^3)*(x^6-y^6)*(x^10-y^10)*...*(x^T_i-y^T_i), where T_i is the i-th triangular number.at n=37A222028
- Number of (n+3) X 5 0..2 matrices with each 4 X 4 subblock idempotent.at n=8A224722
- Number of partitions of n whose mean is a part.at n=49A237984
- Expansion of (-2 +x^2 +x -x*sqrt(1-2*x-3*x^2))/(-1 +x -sqrt(1-2*x-3*x^2)).at n=12A244884
- Number of (6+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=14A250660
- Coefficients in Molien series for 5-dimensional faithful representation of Horrocks-Mumford group G_{HM}.at n=32A258702
- Number of Mersenne number parts in all partitions of n.at n=25A264395
- Number of sets of exactly five positive integers <= n having a square element sum.at n=26A281865
- Irregular triangle read by rows: T(n,m) = number of lattice paths of type A^Q terminating at point (n, m).at n=31A291083