6337
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6338
- 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
- 6336
- Möbius Function
- -1
- Radical
- 6337
- 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
- 54
- 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
- 825
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=32A003154
- Greatest prime divisor of prime(n)*prime(n-1) + 1.at n=44A023525
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=18A031814
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=36A033681
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=17A036570
- Numbers whose base-5 representation contains exactly two 0's and three 2's.at n=23A045183
- Primes with multiplicative persistence value 5.at n=8A046505
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=7A052234
- a(0)=1, a(1)=1, a(n) = largest prime <= a(n-1) + a(n-2).at n=20A055500
- a(0)=1, a(1)=2, a(n) = largest prime < a(n-1)+a(n-2).at n=21A055501
- Primes p such that p^5 reversed is also prime.at n=39A059698
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=14A060261
- Primes with 10 as smallest positive primitive root.at n=17A061323
- Duplicate of A055500.at n=20A065436
- Essentially the same as A055500.at n=18A068523
- Primes with either no internal digits or all internal digits are 3.at n=46A069678
- Find smallest k such that prime(k) and prime(n+k) use the same digits; sequence gives prime(k).at n=43A069793
- Numbers k such that 1/(1/phi(k) + 1/phi(k+1) + 1/phi(k+2)) is an integer.at n=36A073543
- Balanced primes of order two.at n=33A082077
- Balanced primes of order four.at n=4A082079