9707
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10296
- Proper Divisor Sum (Aliquot Sum)
- 589
- 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
- 9120
- Möbius Function
- 1
- Radical
- 9707
- 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
- 166
- 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
- Positions of remoteness 3 in Beans-Don't-Talk.at n=37A005695
- a(n) = a(n-1) + 2*a(n-2) - a(n-3), with a(0) = a(1) = 0, a(2) = 1.at n=18A006053
- Apply partial sum operator thrice to Stern's sequence.at n=12A014173
- 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 97.at n=29A031595
- Number of 3-bead necklaces where each bead is a planted trivalent plane tree [or anything else enumerated by the Catalan numbers], by total number of nodes.at n=9A046342
- Numbers n such that 229*2^n-1 is prime.at n=31A050866
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 18 (most significant digit on right).at n=4A061971
- Numbers k such that 7*k! + 1 is prime.at n=17A076683
- Numbers k for which the sums of prime factors (ignoring multiplicity) of sigma(k) and phi(k) are equal but the sets of prime factors of sigma and phi are different.at n=37A081378
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=32A091332
- Numbers k such that sigma(phi(k))-phi(sigma(k)) is nonzero and divisible by phi(k), that is A065395(k)/A000010(k) is a nonzero integer.at n=43A092587
- In binary representation: numbers not occurring in their factorial.at n=39A093685
- Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 7 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2*n, s(0) = 1, s(2n) = 3.at n=8A094790
- Where records occur in A111390.at n=31A114111
- Semiprimes in A006053.at n=5A122499
- a(1)=1; for n >= 2, a(n) = floor(n!/(Sum_{k=1..n-1} a(k))).at n=10A130797
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=26A144719
- Number of n X n binary arrays with all ones connected only in a 1100-0111-0010 pattern in any orientation.at n=6A146453
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1100-0111-0010 pattern in any orientation.at n=14A146455
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1100-0111-0010 pattern in any orientation.at n=15A146455