6223
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7296
- Proper Divisor Sum (Aliquot Sum)
- 1073
- 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
- 5292
- Möbius Function
- 0
- Radical
- 889
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Divisors of 2^21 - 1.at n=7A003530
- Divisors of 2^42 - 1.at n=27A003547
- G.f.: x*(1-x^2)*(x^4+x^3-x^2+x+1) / (x^8-4*x^6-x^4-4*x^2+1).at n=14A005822
- Numbers k that divide 8^k - 1.at n=7A014949
- Pseudoprimes to base 19.at n=31A020147
- a(n) is the smallest number k such that k*2^(2^n) + 1 is prime.at n=14A030239
- 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 77.at n=24A031575
- Denominators of continued fraction convergents to sqrt(366).at n=10A041693
- Denominators of continued fraction convergents to sqrt(542).at n=11A042037
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=18A045303
- Has both a primitive and imprimitive representation as x^2 + xy + y^2.at n=42A045897
- Row 3 of array in A047666.at n=20A047667
- Expansion of g.f. (1 - 4*x + 6*x^2 - 2*x^3)/((1-x)^3*(1-2*x)^2).at n=9A048503
- Integers > 1 whose prime divisors are all Mersenne primes (i.e., of the form (2^p - 1)).at n=43A056652
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=48A068923
- Take pairs (x,y) with Sum_{j = x..y} j = concatenation of x and y. Sort pairs on y then x. This sequence gives y of each pair.at n=17A070153
- Number of ordered quadruples (a,b,c,d) with gcd(a,b,c,d)=1 (1 <= {a,b,c,d} <= n).at n=8A082540
- Terms k of A002977 such that both (k-1)/2 and (k-1)/3 are also terms of A002977.at n=6A085249
- Start to read the sequence digit by digit and erase the first "1" you encounter, then the first "2", the first "3", etc., until the first "0"; go on from there and erase again the first "1", the first "2", etc., until "0" -- and so on, cyclically until the end of the (infinite) sequence. Concatenate what is left. The result is the concatenation of all integers of the sequence.at n=8A108710
- Cumulative sum of absolute values of coefficients of q^(2n) in the series expansion of Ramanujan's mock theta function f(q).at n=28A109471