6043
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6044
- 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
- 6042
- Möbius Function
- -1
- Radical
- 6043
- 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
- 124
- 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
- 788
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- 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=6A031575
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=24A031810
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) <= cn(2,5) and cn(0,5) + cn(1,5) + cn(4,5) <= cn(3,5).at n=44A039906
- Denominators of continued fraction convergents to sqrt(31).at n=10A041051
- Denominators of continued fraction convergents to sqrt(124).at n=10A041225
- Primes with first digit 6.at n=22A045712
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=25A046006
- Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487).at n=34A050350
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=25A052351
- Numbers n such that n^2 contains exactly 8 different digits.at n=34A054036
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=16A054811
- Primes p such that x^53 = 2 has no solution mod p.at n=12A059258
- Values of gcd(k!+1,2^k+1) not equal to 1 taking k in increasing order.at n=41A067660
- Trisection of A007294.at n=31A073470
- Average of terms of n-th row of A077321.at n=26A077325
- Primes p(x) satisfying the following conditions: (a) A082882(x)=1; (b) {p(x),p(x+1)} are not twin primes; (c) values of A075860(j) for j composites between these two non-twin primes are identical.at n=6A082883
- Gregorian calendar years with Ascension Day in April.at n=18A084427
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=22A094454
- Exponents k such that the sum of decimal digits of 2^k is also a power of 2.at n=15A095412
- Smallest odd prime p such that n = (p - 1) / ord_p(2).at n=18A101208