6338
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9510
- Proper Divisor Sum (Aliquot Sum)
- 3172
- 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
- 3168
- Möbius Function
- 1
- Radical
- 6338
- Omega Function (Ω)
- 2
- 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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for MgZn2, Position Zn2.at n=20A009938
- Coordination sequence for Ni2In, Position Ni1 and In.at n=24A009941
- Coordination sequence for Ni2In, Position Ni2.at n=24A009942
- a(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=24A010003
- Numbers having period-1 7-digitized sequences.at n=38A031201
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 78.at n=19A031576
- n*10^2-1, n*10^2-3, n*10^2-7 and n*10^2-9 are all prime.at n=10A064976
- Least k for the Theodorus spiral to complete n revolutions.at n=24A072895
- Stirling transform of first differences of Bell numbers (A005493), if offset zero: a(n) = Sum_{k=1..n} A008277(n,k)*A005493(k).at n=5A091046
- a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000).at n=39A096973
- Sum of the first 2n+1 primes.at n=27A109723
- Sum of the first F(n) primes, where F(n) is the n-th Fibonacci number.at n=10A117400
- Total number of 7's digits in the first 10^n primes.at n=3A119298
- Successive sums of consecutive primes that form a triangular grid.at n=9A125130
- a(1) = a(2) = 1; a(n+1) = round( a(n) + sqrt(3)*a(n-1) ).at n=14A133999
- Triangle W, read by rows, where column k of W = column 0 of W^(k+1) for k>=0 such that W equals the matrix cube of P = A136220 with column 0 of W = column 0 of P shift up one row.at n=16A136231
- Matrix square of triangle W = A136231; also equals P^6, where P = triangle A136220.at n=10A136235
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, -1), (1, -1, 1), (1, 0, 1)}.at n=8A148970
- Semiprimes in A007504 (the sum of first n primes).at n=16A189072
- Triangle read by rows: T(n,k) is the number of length n left factors of Dyck paths having k UUDD's, where U=(1,1) and D=(1,-1).at n=41A191793