9517
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9856
- Proper Divisor Sum (Aliquot Sum)
- 339
- 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
- 9180
- Möbius Function
- 1
- Radical
- 9517
- 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
- 78
- 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
- If x and y are terms, so is x*y + 9.at n=44A009350
- Odd heptagonal numbers (A000566).at n=31A014637
- a(n) = dot_product(1,2,...,n)*(3,4,...,n,1,2).at n=28A026037
- Numbers whose set of base-13 digits is {1,4}.at n=28A032825
- Sums of 7 distinct powers of 3.at n=21A038469
- Numbers having three 4's in base 9.at n=36A043471
- Numbers k such that d(k) + d(k+1) + d(k+2) = 8, where d(k) = A001223.at n=38A064026
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=39A065216
- Numbers that are sums of divisors of the odd squares; Intersection of A065764 and A065766, written in ascending order and duplicates removed.at n=42A065768
- a(n) = least semiprime with factors not previously used containing integers 2n and 2n+1 as substrings.at n=15A086887
- Numbers k such that k concatenated with k+3 gives the product of two numbers which differ by 8.at n=3A116181
- Heptagonal numbers with only odd digits.at n=5A117993
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1110-0111-0100 pattern in any orientation.at n=10A146733
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1110-0111-0100 pattern in any orientation.at n=22A146735
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1100-0111-0011 pattern in any orientation.at n=13A147215
- Composite numbers such that exactly ten distinct permutations of digits are prime.at n=33A163562
- a(n) = n*(10*n-3).at n=31A195018
- Expansion of x * f(-x^7) * f(-x^21) / (f(-x) * f(-x^3)) where f() is a Ramanujan theta function.at n=28A226007
- Numbers that have all their divisors in A002191 (possible values for sigma(n), A000203).at n=33A243765
- Numbers k such that A000203(x) = k has more than one solution and they all share the same largest prime factor.at n=39A258912