5813
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 5814
- 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
- 5812
- Möbius Function
- -1
- Radical
- 5813
- 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
- 49
- 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
- 763
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From table of maximal epacts e(p) and corresponding primes p, for x_0=2, x_{m+1} = (x_m)^2-1; sequence gives p.at n=28A014426
- a(n+2) = 5*a(n+1) - 3*a(n).at n=6A018902
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=46A023261
- [ exp(1/7)*n! ].at n=6A030967
- Numerators of continued fraction convergents to sqrt(474).at n=8A041904
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 3).at n=51A046765
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 3).at n=51A046777
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=18A050666
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=12A050966
- Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=34A052353
- Primes for which some rearrangement of the digits (leading zeros not allowed) is the product of two consecutive primes.at n=38A053652
- Number of primes between Pi^(n-1) and Pi^n.at n=9A061274
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=5A067860
- Smallest prime which is the sum of n consecutive primes, or 0 if no such prime exists.at n=48A070281
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=24A070934
- a(n) = s(2*n) where s(0) = 0, s(1) = s(2) = 1, s(n) = abs(Sum_{k=2..n-1} (-1)^k * s(n-k) * s(k)).at n=48A072851
- Primes associated with groups in A076077.at n=20A076076
- a(n) = smallest prime > n*prime(n).at n=36A079779
- Diagonal of triangular spiral in A051682.at n=35A081270
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=24A082244