5347
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 5348
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5346
- Möbius Function
- -1
- Radical
- 5347
- 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
- 116
- 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
- 707
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0) = 587, a(n) = 3*a(n-1) + 16 for n > 0 (the first 11 terms are primes).at n=2A003539
- List of pairs of primes in reverse order.at n=7A007797
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19).at n=67A017895
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=19A020405
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=43A023256
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 73.at n=2A031571
- Upper prime of a difference of 14 between consecutive primes.at n=30A031933
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=41A038543
- Prime numbers p such that the number of partitions of p is also a prime.at n=9A038601
- Denominators of continued fraction convergents to sqrt(134).at n=11A041245
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=20A046010
- Coefficients of the '3rd-order' mock theta function omega(q).at n=42A053253
- Primes of the form 4*k^2 + 163.at n=30A057604
- Primes p such that x^9 = 2 has a solution mod p, but x^(9^2) = 2 has no solution mod p.at n=1A070185
- Group the natural numbers such that the n-th group contains n terms and the group sum is the smallest possible prime: (2), (1, 4), (3, 5, 9), (6, 7, 8, 10), (11, 12, 13, 14, 17), (15, 16, 18, 19, 20, 21), ... Sequence gives group sums.at n=21A075345
- a(n) = prime(n*(n+1)/2+4).at n=37A078725
- Balanced primes of order two.at n=28A082077
- Primes arising in A083989.at n=8A083990
- For p = prime(n), a(n) is the smallest prime q such that pq is a base-2 pseudoprime; that is, 2^(pq-1) = 1 mod pq; a(n) is 0 if no such prime exists.at n=44A085012
- Diagonal of A088262.at n=18A088263