12743
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12744
- 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
- 12742
- Möbius Function
- -1
- Radical
- 12743
- 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
- 81
- 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
- 1521
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Positions of remoteness 4 in Beans-Don't-Talk.at n=29A005696
- Number of equivalence classes of 4 X n binary matrices when one can permute rows, permute columns and complement columns.at n=16A006380
- Numbers k such that (3^k + 1)/4 is prime.at n=16A007658
- a(n) = prime(n^2).at n=38A011757
- Number of solutions to c(1)*prime(4) + ... + c(n)*prime(n+3) = 1, where c(i) = +-1 for i>1, c(1) = 1.at n=22A022904
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1.at n=6A037646
- Prime number spiral (clockwise, Northwest spoke).at n=19A053999
- a(n) is the least prime p, such that next_prime(2*p) - 2*p = 2*n - 1.at n=18A059846
- Partial sums of A068058 + 1.at n=40A068059
- Irregular primes whose indices are irregular primes of order one.at n=35A090869
- Smallest prime of the form n^j+(n+1)^k, with j,k integer, min(j,k)>1.at n=22A093576
- Primes of the form k^3 + (k+1)^2.at n=11A100662
- a(n) = n^3 + (n+1)^2.at n=23A100705
- a(n) = a(n-1) + 2^A047240(n) for n>1, a(1)=1.at n=7A113841
- Prime sums of 5 positive 5th powers.at n=33A123034
- Prime numbers p such that p^3 - (p+1)^2 and p^3 + (p+1)^2 are both primes.at n=12A137476
- Least prime P such that 3*p(n)*P*(3*p(n)*P+1)-1, 3*p(n)*P*(3*p(n)*P+1)+1,3*p(n)*P*(3*p(n)*P+3)-1,3*p(n)*P*(3*p(n)*P+3)+1 are all primes with p(i) = i-th prime.at n=14A137839
- Primes congruent to 33 mod 41.at n=38A142230
- Primes congruent to 15 mod 43.at n=32A142264
- Primes congruent to 6 mod 47.at n=34A142357