12653
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12654
- 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
- 12652
- Möbius Function
- -1
- Radical
- 12653
- 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
- 55
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1512
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest nonempty set S containing prime divisors of 9k+5 for each k in S.at n=28A020627
- Lists of 4 primes in arithmetic progression; common difference 6.at n=30A033449
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=26A046123
- Third term of balanced prime quartets: p(m-1)-p(m-2) = p(m)-p(m-1) = p(m+1)-p(m).at n=7A054802
- Primes of the form 666*k - 1.at n=7A063472
- The n-th row of the following triangle contains n distinct primes such that the product of (n-1) of them + 2 is prime in all cases. The first (n-1) numbers are the smallest set whose product +2 is a prime and the n-th term is chosen to satisfy the requirement. a(1) = 2 by convention. Sequence contains the triangle by rows.at n=27A083776
- Diagonal of A083776.at n=6A083777
- Primes arising in A085042: a(n) = the n-th partial sum of A085042.at n=27A085043
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=39A088728
- Numbers p such that p = (prime(n)+ prime(n+2))/2 is prime for prime indices n=2, 3, 5...at n=16A098038
- Primes p equal to the sum of two successive sexy primes + 1 such that p + 6 is also prime.at n=25A104043
- a(n) = Sum_{k=1..n} J_4(k)/240.at n=22A115003
- Numbers n such that in the 3 X 3 square arrangement of the 9 primes p(n),..,p(n+8), totals of 3 rows and 3 columns, are all prime.at n=2A115050
- Primes of the form n^2+5*n+c (n>=0), where c=3 for even n and c=-3 for odd n.at n=25A117012
- a(1)=433640083; a(n+1)= the largest prime factor of a(n)+b(n)+c(n), where a(n)<b(n)<c(n) and a(n),b(n) and c(n) are three consecutive primes.at n=22A117631
- Smaller of two consecutive Sophie Germain primes with the same digital sum.at n=30A118506
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=29A118507
- a(n) = 3*a(n-1) - a(n-3) + 3*a(n-4), with initial values 1,1,1,1.at n=11A135344
- Primes of the form 210k + 53.at n=30A140851
- Primes congruent to 36 mod 37.at n=40A142145