12641
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12642
- 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
- 12640
- Möbius Function
- -1
- Radical
- 12641
- 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
- 156
- 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
- 1510
- 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 57.at n=22A020396
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=26A023271
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=36A023299
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/(2*n)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=41A024845
- Primes of the form j^2 + (j+1)^2.at n=27A027862
- Lists of 4 primes in arithmetic progression; common difference 6.at n=28A033449
- Initial prime in set of 4 consecutive primes with common difference 6.at n=7A033451
- First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=7A054800
- a(n) = (2*n-1)^2 + (2*n)^2.at n=39A060820
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=19A067379
- Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.at n=34A079796
- a(n) = 8*n^2 - 4*n + 1.at n=40A080856
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=36A088483
- a(1) = 2 then primes in nondecreasing order such that every concatenation is prime.at n=33A089702
- Primes p such that p, p+6, p+12, p+18 are consecutive primes and p=6*k+5 for some k.at n=3A090834
- a(1) = 1; then primes associated with A091850.at n=31A091851
- Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=30A094464
- Number of lower Wythoff primes (A095280) in range ]2^n,2^(n+1)].at n=17A095290
- Primes of the form prime(n)^2 - prime(n+1) - 1.at n=16A097938
- Duplicate of A033451.at n=7A099734