6361
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6362
- 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
- 6360
- Möbius Function
- -1
- Radical
- 6361
- 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
- 106
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 829
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=45A000328
- a(n) = least primitive factor of 2^(2n+1) - 1.at n=26A002184
- Smallest prime factor of Mersenne numbers 2^p-1, where p is prime.at n=15A016047
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=22A023271
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=7A023287
- n written in fractional base 9/6.at n=37A024654
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=41A024843
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=13A031816
- Lists of 4 primes in arithmetic progression; common difference 6.at n=24A033449
- Initial prime in set of 4 consecutive primes with common difference 6.at n=6A033451
- Primes p such that both p-2 and 2p-1 are prime.at n=39A038869
- Sequence of 2 Pythagorean triangles, each with a leg and hypotenuse prime. The leg of the second triangle is the hypotenuse of the first.at n=26A048270
- Smallest prime dividing 2^n - 1.at n=51A049479
- a(n) = 4*n^2 - 9*n + 6.at n=40A054556
- First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=6A054800
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(Q).at n=32A057473
- Primes p such that x^53 = 2 has no solution mod p.at n=13A059258
- a(n) = least odd number which can be represented in the form p + 2*k^2, k>0, in n different ways.at n=37A060004
- Primes with 19 as smallest positive primitive root.at n=7A061331
- The number of distinct parts in the partition sequence lambda(n) formed by the recurrence lambda(1) = 1 and lambda(n+1) is the sum of lambda(n) and its conjugate.at n=26A064660