10666
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16002
- Proper Divisor Sum (Aliquot Sum)
- 5336
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5332
- Möbius Function
- 1
- Radical
- 10666
- 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
- 117
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=12A020408
- a(n) = n^5 - (65/6)*n^4 + (173/6)*n^3 + (148/3)*n^2 - (862/3)*n + 265.at n=5A028294
- Increasing gaps among twin primes: size.at n=46A036063
- Numbers having three 6's in base 10.at n=36A043515
- Numbers whose base-2 representation has exactly 12 runs.at n=32A043579
- Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion.at n=19A051003
- a(n+1) = a(n)-th composite and a(1) = 13.at n=31A059408
- Triangle read by rows: T(n,k) is the number of stacks of n pancakes requiring k = 0, ..., A058986(n) flips to sort.at n=50A092113
- Integers k such that 3*10^k + 71 is a prime number.at n=12A110933
- Number of binary strings of length n with equal numbers of 00001 and 11000 substrings.at n=14A164208
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=4, k=-1 and l=1.at n=7A176966
- Floor[1/{(3+n^4)^(1/4)}], where {}=fractional part.at n=19A184538
- Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 2 X n array.at n=8A219472
- Number of partitions of n not containing the number of distinct parts as a part.at n=36A239946
- a(n) = (binomial(2n, n) - 2) mod n^3.at n=32A246133
- G.f.: A(x) = x/Series_Reversion[x*G(x)] where A(x*G(x)) = G(x) = g.f. of A277041.at n=9A277042
- Positions of 2's in A264977; positions of 3's in A277330.at n=43A277712
- a(n) = (5/128)*n^4*(n mod 2) + (((-5/128)*n^4*(n mod 2) - 26) mod n) + n^3 (n > 0).at n=21A294264
- Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=9A300940
- Numbers k such that 415*2^k+1 is prime.at n=24A323107