8268
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 12900
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- 0
- Radical
- 4134
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 158
- 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
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=37A025223
- One half of sixth column of Lucas bisection triangle (odd part).at n=2A061175
- Number of ordered pairs a,b of elements in the dihedral group D_2n such that the subgroup generated by the pair a,b is the entire group D_2n.at n=52A064400
- Numbers occurring twice in A068627.at n=13A068628
- Next term is the sum of previous term and the square of the sum of its decimal digits, with a(0) = 10.at n=28A112787
- Starting numbers for which the RATS sequence has eventual period 14.at n=13A114615
- Numbers k such that 5^k mod k = 5^k mod k^2.at n=27A125775
- Numbers k such that k^2 divides 11^k - 1.at n=47A127092
- Numbers k such that k^2 divides 5^k-1.at n=22A127105
- Length of period of the sequence (1^1^1^..., 2^2^2^..., 3^3^3^..., 4^4^4^..., ...) modulo n.at n=52A127699
- Partial sums of A006127, starting at n=1.at n=11A145070
- a(n) = 49*n^2 - n.at n=12A157923
- a(n) = 169*n^2 - 13.at n=6A158550
- 1/4 the number of (n+1) X 3 binary arrays with equal numbers of 2 X 2 subblocks with sums 1 and 3.at n=4A184597
- 1/4 the number of (n+1) X 6 binary arrays with equal numbers of 2 X 2 subblocks with sums 1 and 3.at n=1A184600
- T(n,k) = 1/4 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sums 1 and 3.at n=16A184604
- T(n,k) = 1/4 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sums 1 and 3.at n=19A184604
- Numbers n such that lambda(n) = lambda(n - lambda(n)).at n=57A185165
- a(k) such that A225258 column k of T(n,k) = n*k^3 - a(k) for large n.at n=25A225263
- a(n) = n*(11*n-5)/2.at n=39A226492