5843
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 5844
- 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
- 5842
- Möbius Function
- -1
- Radical
- 5843
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 767
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=36A015990
- Pisot sequence L(5,8).at n=13A020736
- 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=23A031573
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=41A033548
- Primes p such that x^23 = 2 has no solution mod p.at n=35A040984
- Numbers having three 3's in base 8.at n=36A043435
- Primes p such that p+6 and p+8 are also primes.at n=41A046138
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=30A049438
- Primes of the form 2*n^2 + 11.at n=31A050265
- Triangle read by rows: T(n,k) = p(r), where r is the (n-k+1)-th number such that A001222(r+1) = k, and p(r) is the r-th prime.at n=53A050298
- Expansion of (2-x-x^2-x^3)/((1-x)*(1-x^2-x^3)).at n=34A052954
- Scan decimal expansion of Mersenne primes (A000668), recording all primes seen.at n=21A053648
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=8A056987
- Numbers k such that 7*2^k - 3 is prime.at n=28A058593
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=27A059400
- Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways.at n=26A064283
- Numbers which need nine 'Reverse and Add' steps to reach a palindrome.at n=35A065214
- a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.at n=25A073609
- Initial terms of rows of A077321.at n=45A077322
- Expansion of (1-x)^(-1)/(1-x^2+x^3).at n=36A077883