9597
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
- 8
- Divisor Sum
- 14656
- Proper Divisor Sum (Aliquot Sum)
- 5059
- 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
- 5472
- Möbius Function
- -1
- Radical
- 9597
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=33A025193
- 4th-order Vatalan numbers (generalization of Catalan numbers).at n=5A025757
- T(2n,n+4), T given by A026758.at n=5A026875
- Every run of digits of n in base 6 has length 2.at n=37A033004
- Multiplicity of highest weight (or singular) vectors associated with character chi_88 of Monster module.at n=45A034476
- Number of 6-ary rooted trees with n nodes and height at most 7.at n=13A036624
- Sums of 7 distinct powers of 3.at n=25A038469
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=26A063058
- Number of fixed points of mirroring operation on solid partitions.at n=18A096573
- Numbers k for which 14*k+1, 14*k+5, 14*k+11 and 14*k+13 are primes.at n=31A123987
- Number of squares (of nonnegative integers) that require n binary (base-2) digits.at n=30A126726
- First differences of the binomial transform of the distinct partition numbers (A000009).at n=12A129519
- Least k(n) such that 3*2^k(n)*M(n)-1 or 3*2^k(n)*M(n)+1 is prime (or both primes) with M(i)=i-th Mersenne prime.at n=28A152097
- A triangular sequence of polynomial coefficients: p(x,n) = Sum[m^n*x^m/m!, {m, 0, Infinity}]/(x*Exp[x]); q(x,n)= If[n == 0, 1, p(x, n) + x^n*p(1/x, n)].at n=49A154867
- A triangular sequence of polynomial coefficients: p(x,n) = Sum[m^n*x^m/m!, {m, 0, Infinity}]/(x*Exp[x]); q(x,n)= If[n == 0, 1, p(x, n) + x^n*p(1/x, n)].at n=50A154867
- a(n) = 196*n^2 - n.at n=6A158003
- a(n) = 49*n^2 - 7.at n=13A158484
- Number of partitions of n such that smaller parts do not occur more frequently than greater parts.at n=51A171979
- Partial sums of (1/5)*floor(6^n/7).at n=7A178719
- Denominators of convergents to the Dottie number, A003957.at n=8A212113