6037
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6038
- 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
- 6036
- Möbius Function
- -1
- Radical
- 6037
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 67
- 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
- 787
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=50A001133
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=7A020408
- "CGK" (necklace, element, unlabeled) transform of 2,1,1,1,...at n=24A032157
- Multiplicity of highest weight (or singular) vectors associated with character chi_21 of Monster module.at n=38A034409
- Denominators of continued fraction convergents to sqrt(191).at n=9A041355
- Denominators of continued fraction convergents to sqrt(764).at n=11A042473
- Primes with first digit 6.at n=21A045712
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=33A048524
- Primes p such that the decimal digits of p^2 can be partitioned into two or more nonzero squares.at n=23A048646
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=33A052231
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=16A054810
- a(0) = 1; a(n) = Sum_{1 <= k <= n and k|n} a(n-k).at n=18A067951
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=22A073775
- p, p+6 and p+10 are consecutive primes.at n=40A078562
- Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646].at n=12A078856
- Class 5+ primes (for definition see A005105).at n=24A081633
- Numbers k such that (5^k + 2^k)/7 is prime.at n=8A082387
- Sum of primes <= p is even and sum is twice a prime.at n=28A089894
- Irregular primes whose indices are irregular primes of order one.at n=15A090869
- Indices of primes in the sequence defined by A(0) = 47, A(n) = 10*A(n-1) - 33 for n > 0.at n=23A101724