12323
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12324
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12322
- Möbius Function
- -1
- Radical
- 12323
- 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
- 37
- 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
- 1472
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=37A010002
- Numerators of continued fraction convergents to sqrt(493).at n=5A041940
- Primes with consecutive digits that differ exactly by 1.at n=12A048398
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=27A054827
- Number of periodic palindromic structures of length n using exactly two different symbols.at n=27A056508
- Primes of the form k^2 + 2.at n=13A056899
- Primes p such that x^61 = 2 has no solution mod p.at n=25A059230
- Primes having only {1, 2, 3} as digits.at n=38A062350
- a(1) = 1; a(2) = 2; a(3) = 3; a(n) is concatenation of a(n-3), a(n-2) and a(n-1); the digits on the right of the first 3 (if any) are then swapped with the digits on the left.at n=4A065842
- a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.at n=40A073609
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=29A073775
- Primes that are a sum of twin primes and their indices.at n=36A088187
- Primes in which the digit string can be partitioned into three parts such that third (least significant) part is the product of the first two.at n=7A088294
- Duplicate of A056899.at n=13A089921
- Primes p such that p - 6 is a product of two consecutive primes.at n=15A098061
- Primes of the form 2*n^2 + 2*n - 1.at n=28A098828
- Upper prime of a difference of 22 between consecutive primes.at n=23A098976
- Primes of the form m^k+k, with m and k > 1.at n=17A099227
- Smallest prime p with at least two non-overlapping occurrences of n in decimal representation of p.at n=22A103611
- Apply partial sum operator 5 times to partition numbers.at n=11A120477