14537
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14538
- 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
- 14536
- Möbius Function
- -1
- Radical
- 14537
- 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
- 58
- 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
- 1702
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of (1+x)(1+x^2)/(1-x-x^3).at n=24A003410
- Iccanobif numbers: add reversal of a(n-1) to a(n-2).at n=21A014259
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=18A020394
- Prime number spiral (clockwise, North spoke).at n=21A054551
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=32A055472
- Expansion of (1 - x^2)/(1 - x - x^3).at n=28A058278
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=29A060261
- Integers k > 10577 such that the 'Reverse and Add!' trajectory of k joins the trajectory of 10577.at n=3A063434
- Expansion of (1-x)/(1-x-2*x^2-x^3).at n=14A078007
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662].at n=14A078857
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,2,6).at n=8A078965
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=33A090918
- a(n) = Sum_{k=0..n} C(n-k, floor(k/2)).at n=25A097333
- Value of C in y = x^2 + 5x + C such that y is prime for all x = 0 to 3.at n=33A097434
- n+phi(n)+phi(phi(n)) is a cube.at n=13A116042
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=29A119597
- A054525 * A000041.at n=35A133732
- Triangle T(n,m) read by rows: T(m,n) = (1+n*3^m)-th prime.at n=33A137440
- 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=1A137839
- Primes of the form 210k + 47.at n=37A140850