6308
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 5452
- 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
- 2952
- Möbius Function
- 0
- Radical
- 3154
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 93
- 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
- yes
- Odd
- no
Appears in sequences
- n written in fractional base 9/6.at n=35A024654
- Number of rooted compound windmills with n nodes and leaves of 2 colors.at n=8A032201
- Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,2,1.at n=7A037560
- Denominators of continued fraction convergents to sqrt(687).at n=9A042321
- Numbers having three 4's in base 8.at n=34A043439
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 3, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1.at n=13A049942
- Numbers n such that 299*2^n-1 is prime.at n=12A050908
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=33A063354
- Number of partitions of n into Lucas parts (A000032).at n=51A067593
- Position of first repeat of the opening sequence of length n occurring after the first repeat of the opening sequence of length n-1 in the Kolakoski sequence (A000002).at n=26A074300
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=38A084804
- Expansion of (1+2*x)/((1+x)*(1-x^2-x^3)).at n=33A098601
- Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n that have k weak ascents (1<=k<=n-1 for n>=2; k=1 for n=1). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1. A weak ascent in a Schroeder path is a maximal sequence of consecutive U and H steps.at n=43A114691
- Numbers k such that 13^k - 2 is a prime.at n=14A128457
- Value of A063882 at end of n-th generation of terms.at n=11A132177
- Integers k such that 10^k+39 is a prime number.at n=14A135108
- 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, -1, 0), (-1, 1, -1), (0, 0, 1), (1, 0, 0)}.at n=9A149811
- Number of 6X6 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n.at n=32A156389
- Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 32.at n=4A156492
- a(n) = (11*n^2 + 19*n + 10)/2.at n=33A160749