8006
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12012
- Proper Divisor Sum (Aliquot Sum)
- 4006
- 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
- 4002
- Möbius Function
- 1
- Radical
- 8006
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=37A015628
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=26A020409
- Fibonacci sequence beginning 2, 20.at n=14A022372
- Cycle-path coverings of a family of digraphs.at n=9A030236
- 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 88.at n=18A031586
- "CFK" (necklace, size, unlabeled) transform of 2,2,2,2...at n=20A032139
- Number of colors that can be mixed with n >= 0 units of yellow, blue, red.at n=37A048241
- Sum of next n odd interprimes.at n=9A075674
- a(n) = n^3 + 6.at n=20A084382
- Expansion of eta(q^6) * eta(q^10) / (eta(q) * eta(q^15)) in powers of q.at n=35A094023
- Expansion of q * (chi(-q^3) * chi(-q^5)) / (chi(-q) * chi(-q^15))^2 in powers of q where chi() is a Ramanujan theta function.at n=34A123630
- Expansion of q * chi(q^3) * chi(q^5) / (chi(q) * chi(q^15))^2 in powers of q where chi() is a Ramanujan theta function.at n=34A145786
- 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, 1), (0, 1, 1), (1, -1, -1), (1, 1, 0)}.at n=7A150508
- Triangle of coefficients from a polynomial recursion with row sum near =2*5^n: p(x,n)=(x + 1)*(p(x, n - 1) + 2*5^(n - 2)*(x + 5*x^Floor[n/2] + x^(n - 2))).at n=29A153354
- Triangle of coefficients from a polynomial recursion with row sum near =2*5^n: p(x,n)=(x + 1)*(p(x, n - 1) + 2*5^(n - 2)*(x + 5*x^Floor[n/2] + x^(n - 2))).at n=34A153354
- Numbers k such that 2^k + 25 is prime.at n=25A157006
- Number of n X 6 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=9A166810
- Numbers k such that k, k^2 - 5, and k^2 + 5 are semiprime.at n=37A173085
- Numbers k such that sigma(k - 2) = sigma(k + 2).at n=13A223091
- Number of (n+2) X (1+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=14A252712