9323
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9324
- 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
- 9322
- Möbius Function
- -1
- Radical
- 9323
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- 1154
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest number a(n) formed from consecutive sequences of digits of Pi and satisfying a(n) > a(n-1); first 3 is omitted.at n=6A008829
- Write down decimal expansion of Pi; divide up into chunks of minimal length so that chunks are increasing numbers and do not begin with 0.at n=6A016062
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=23A023297
- 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 95.at n=28A031593
- Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).at n=21A037452
- Primes seen in the decimal expansion of Pi (disregarding the decimal point) that are contiguous, smallest and distinct.at n=7A047777
- Primes of the form k^2 + k + 11.at n=47A048059
- Digitally balanced numbers in both bases 2 and 3.at n=36A049361
- Numbers n such that (13^n + 1)/14 is a prime.at n=7A057179
- Primes p such that x^59 = 2 has no solution mod p.at n=20A059312
- Primes p such that |p - q| is a square, where q is the reversal of p.at n=33A059798
- Primes of the form 666*k - 1.at n=4A063472
- Numbers k such that prime(k) + prime(k+1)*2 is a square.at n=20A064504
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=36A064721
- Non-palindromic primes which on subtracting their reversal give perfect squares.at n=14A080177
- a(n) = 8*n^2 + 88*n + 43.at n=29A086760
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=25A088483
- Smallest prime that begins with the digit reversal of prime(n).at n=51A093487
- Balanced primes of order eight.at n=15A096700
- Primes from merging of 4 successive digits in decimal expansion of Pi.at n=2A104824