9397
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9398
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9396
- Möbius Function
- -1
- Radical
- 9397
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1162
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=37A031818
- "BGK" (reversible, element, unlabeled) transform of 1,0,1,0,...at n=53A032059
- Substrings from the right are prime numbers (using only odd digits different from 5).at n=30A032437
- Primes that are concatenations of k with k + 4.at n=11A032627
- Primes whose sum of digits is the perfect number 28.at n=23A048517
- Number of horizontally convex n-ominoes in which the top row has at least 2 squares and the rightmost square in the top row is above the leftmost square in the second row.at n=10A049220
- Primes p such that x^29 = 2 has no solution mod p.at n=39A059256
- Fifth diagonal of triangle A064094.at n=12A064096
- Prime divisors of solutions to 10^n == 1 (mod n).at n=7A066364
- Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime.at n=38A069833
- Primes p such that the period of the decimal expansion of 1/p is a square.at n=17A072858
- Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=22A078765
- G.f.: (1+x^2)/((1-2x)(1-x-x^2)); a(n)=3a(n-1)-a(n-2)-2a(n-3); a(n)=5*2^n-L(n+3); a(n)=sum{k=0..n, (L(k)-0^k)2^(n-k)}.at n=11A099166
- a(n) = Sum_{k=0..floor(n/4)} C(n-k,3*k)*3^(n-4*k).at n=8A099786
- Primes p such that p's set of distinct digits is {3,7,9}.at n=15A108385
- Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n.at n=30A111036
- A Somos 9-type recurrence: a(n) = (3*a(n-1)*a(n-8) - a(n-4)*a(n-5))/a(n-9), with a(0)=...=a(8)=1.at n=17A122055
- Primes p for which the period length of 1/p is a perfect power, A001597.at n=23A128948
- Primes p such that the largest prime factor of p+1 has Erdős-Selfridge class+ < N-1 if p is of class N+.at n=37A129470
- Primes p of Erdos-Selfridge class 4+ with largest prime factor of p+1 not of class 3+.at n=6A129472