8107
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9044
- Proper Divisor Sum (Aliquot Sum)
- 937
- 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
- 7260
- Möbius Function
- 0
- Radical
- 737
- 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
- 65
- 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
- Symmetries in unrooted 4-trees on n+1 vertices.at n=12A003616
- Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,3).at n=5A005552
- a(n) = floor(n*(n-1)*(n-2)/12).at n=47A011894
- a(n) = [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 2 mod 3}.at n=10A024399
- 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 89.at n=15A031587
- Denominators of continued fraction convergents to sqrt(951).at n=9A042841
- Numbers k that divide 7^k + 4^k.at n=8A045592
- Column 8 of triangle A055898.at n=4A055904
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=17A070192
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=41A071319
- Sum of odd-indexed primes.at n=41A077131
- Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid.at n=22A111746
- Numbers k such that k and k^2 together contain all ten digits.at n=23A122477
- Sums of three consecutive hexagonal numbers.at n=36A129109
- 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, 1), (-1, 0, 0), (0, 1, 0), (1, -1, 0), (1, 0, -1)}.at n=10A148134
- Similar to A072921 but starting with 5.at n=38A152234
- Number of nondecreasing arrangements of n+2 numbers in 0..6 with the last equal to 6 and each after the second equal to the sum of one or two of the preceding three.at n=45A190038
- Constant term of the reduction by x^2->x+3 of the polynomial p(n,x)=1+x^n+x^(2n).at n=5A192468
- Sum of parts that are visible in one of the three views of the shell model of partitions version "tree" with n shells.at n=22A194804
- a(n)=a(n-1)+a(n-2)+n+4, a(0)=0, a(1)=1.at n=15A210675