5867
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5868
- 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
- 5866
- Möbius Function
- -1
- Radical
- 5867
- 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
- 80
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 772
- 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_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=25A014424
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=17A020409
- Fibonacci sequence beginning 1, 9.at n=15A022099
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=24A023299
- [ 4th elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=8A025204
- 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 75.at n=25A031573
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=36A031800
- "BGJ" (reversible, element, labeled) transform of 2,1,1,1...at n=7A032053
- Primes that are decimal concatenations of n with n + 9.at n=9A032632
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=16A035790
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=17A046018
- First of four consecutive primes that comprise two sets of twin primes.at n=26A053778
- Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=20A068710
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=34A068896
- Lowest primes in twin packs.at n=21A069457
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (6,2).at n=31A073651
- Numbers k such that (10^k - 1)/9 + 6*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime).at n=3A077789
- Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.at n=27A079292
- Smallest member of a pair of consecutive twin prime pairs that have no primes between them.at n=27A089628
- a(n) is the lesser term of the smallest twin prime pair such that if P=(a(n)^2+n)^2+n, then P and P+2 are also twin primes. a(n) is 0 if no such pair exists.at n=55A093245