6029
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6030
- 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
- 6028
- Möbius Function
- -1
- Radical
- 6029
- 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
- 23
- 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
- 786
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- A015938(n)-2^n.at n=36A015939
- Numbers k such that the continued fraction for sqrt(k) has period 85.at n=3A020424
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=12A022464
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (primes).at n=25A024867
- a(n) = Sum_{0<=i<=i<=n} A027082(i, n+j).at n=8A027099
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=26A031806
- Upper prime of a difference of 18 between consecutive primes.at n=21A031937
- Decimal part of cube root of a(n) starts with 2: first term of runs.at n=17A034128
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) <= cn(1,5) + cn(4,5).at n=32A039879
- Numerators of continued fraction convergents to sqrt(591).at n=6A042132
- Primes with first digit 6.at n=20A045712
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=12A050268
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=16A054809
- a(1)=5, a(n) is the smallest prime dividing 4*Q^2 + 1 where Q is the product of all previous terms in the sequence.at n=10A057207
- Number of nonisomorphic oriented matroids with n points in 4 dimensions.at n=3A063802
- Triangle T(n,k) (n >= 3, k = 1..n-2) read by rows, giving number of nonisomorphic oriented matroids with n points in n-k dimensions.at n=18A063804
- Frobenius number of the numerical semigroup generated by three consecutive hexagonal numbers.at n=5A069758
- a(n) = A051201(n^2).at n=35A078163
- Primes that are the sum of 7 consecutive primes.at n=44A082246
- Leading diagonal of triangle A093922.at n=24A093923