9523
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9720
- Proper Divisor Sum (Aliquot Sum)
- 197
- 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
- 9328
- Möbius Function
- 1
- Radical
- 9523
- 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
- 34
- 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
- Sum of distinct prime divisors of prime(n)*prime(n-1) - 1.at n=32A023521
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=36A024844
- [ exp(7/11)*n! ].at n=6A030941
- 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=11A031595
- Numbers n such that n^2 - 1 is expressible as the sum of two nonzero squares in exactly one way.at n=30A050797
- One-sixtieth of the even leg of Pythagorean triangles whose other sides are both primes (other than 3, 5 or 13).at n=33A068485
- Sum of first 2n primes.at n=33A109722
- Records in A111267.at n=17A111268
- Semiprimes of the form 2*n + 1, where n is a square.at n=30A111351
- n+sigma(n)+sigma(sigma(n)) is a triangular number.at n=35A116015
- Number of parts in all partitions of n in which no part occurs more than 3 times.at n=27A117148
- Successive sums of consecutive primes that form a triangular grid.at n=10A125130
- Sum of primes < n^2.at n=18A139562
- A051838 gives numbers m such that the sum of first m primes divides the product of the first m primes. This sequence gives corresponding values of the sum of first m primes.at n=15A140763
- Number of n X n binary arrays with all ones connected only in a 10001-11111 pattern in any orientation.at n=7A147083
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 10001-11111 pattern in any orientation.at n=17A147085
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 0), (1, 1, -1), (1, 1, 0)}.at n=8A149340
- Shorthand for A157033, the smallest prime with 2^n digits.at n=14A157034
- a(n) = 18*n^2 + 1.at n=22A157889
- a(n) = 529*n + 1.at n=17A158368