6929
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7686
- Proper Divisor Sum (Aliquot Sum)
- 757
- 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
- 6240
- Möbius Function
- 0
- Radical
- 533
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 150
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Losing initial positions in game: two players alternate in removing >= 1 stones; last player wins; first player may not remove all stones; each move <= 3 times previous move.at n=26A003411
- Number of leftist trees with n leaves.at n=14A006196
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=70A017894
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=40A020358
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 4.at n=29A025010
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=17A031420
- Base-6 palindromes that start with 5.at n=26A043014
- Numbers k such that 187*2^k-1 is prime.at n=9A050845
- Smallest losing position after your opponent has taken k stones in a variation of "Fibonacci Nim".at n=22A054736
- If p | n, then p+1 | n+1 for composite n.at n=35A056729
- Frobenius number of the numerical semigroup generated by 3 consecutive triangular numbers.at n=18A069755
- Smallest argument m such that commutator[phi(m), gpf(m)] = 2n-1, where phi(m) = A000010(m) and gpf(m) = A006530(m), the largest prime factor of m.at n=13A070818
- Numbers k such that triangular numbers T(k) and T(k+1) sum to another triangular number (that is also a perfect square).at n=5A076708
- Series reversion of g.f. A(x) is -A(-x).at n=13A089796
- Total number of smallest parts in all partitions of n into odd parts.at n=38A092268
- Highly cototient numbers: records for a(n) in A063741.at n=48A100827
- Norm of the sum of divisors function sigma(n) generalized for Gaussian integers.at n=35A103230
- Expansion of (1 - x + x^2)/(1 - x - x^4).at n=30A103632
- a(n) = |b(n)|^2 = x^2 + 3*y^2 where (x,y,y,y) is the quaternion b(n) of the sequence b of quaternions defined by b(0)=1,b(1)=1, b(n) = b(n-1) + b(n-2)*(0,c,c,c) where c = 1/sqrt(3).at n=13A105309
- Row sums of a triangle related to the Fibonacci polynomials.at n=14A109222