12547
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12548
- 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
- 12546
- Möbius Function
- -1
- Radical
- 12547
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1499
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=37A020433
- Palindromic primes in base 8.at n=27A029976
- Primes that are palindromic in base 9.at n=27A029977
- Number of binary rooted trees with n nodes and height at most 6.at n=21A036589
- Numerators of continued fraction convergents to sqrt(502).at n=5A041958
- Base 8 palindromes that start with 3.at n=22A043023
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=36A046018
- Primes prime(k) for which A049076(k) = 3.at n=36A049079
- Primes of the form k^2 + 3.at n=19A049423
- Number of nondividing sets on {1,2,...,n}.at n=36A051014
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=22A057698
- Primes p such that x^41 = 2 has no solution mod p.at n=37A059236
- Primes p such that p^9 reversed is also prime.at n=36A059702
- Primes p such that p^12 reversed is also prime.at n=36A059705
- If M(n) is the n-th Mersenne prime, then a(n) is the smallest positive integer such that 2*a(n)*M(n)*M(n+1)*M(n+2)-1 is prime.at n=19A093192
- Numbers in base 10 that are palindromic in bases 8 and 9.at n=15A099146
- Primes p equal to the sum of two successive sexy primes - 1 such that p - 6 is also prime.at n=23A104047
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=38A109982
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=19A117458
- Duplicate of A049423.at n=19A121825