12203
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12204
- 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
- 12202
- Möbius Function
- -1
- Radical
- 12203
- 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
- 63
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1459
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Graham-Sloane-type lower bound on the size of a ternary (n,3,8) constant-weight code.at n=5A030508
- Numbers whose base-4 representation contains exactly four 2's and three 3's.at n=16A045156
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=27A046020
- Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.at n=40A058952
- Safe primes which are also Sophie Germain primes.at n=32A059455
- Primes which, although they have correct parity, are not in the prime number maze.at n=25A065123
- Sums of groups in A075635.at n=26A075636
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=32A075707
- Primes associated with groups in A076077.at n=26A076076
- a(1) = 1, then the least n-digit prime such that the k-th digit from the Most significant side is prime if k is prime else is composite. The most significant digit is always a 1. 0 if no such prime exists.at n=4A089763
- Primes from merging of 5 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.at n=17A103809
- Primes from merging of 5 successive digits in decimal expansion of (Pi^2).at n=10A104928
- Primes p such that 5*p - 6 is square.at n=16A110482
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 1.at n=8A112546
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 2.at n=8A112547
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 3.at n=8A112549
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 4.at n=8A112583
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 5.at n=8A112584
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 6.at n=8A112585
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 7.at n=8A112586