10266
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 11334
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3248
- Möbius Function
- 1
- Radical
- 10266
- Omega Function (Ω)
- 4
- 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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=59A011901
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=60A011902
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,2,0.at n=5A037780
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,15.at n=28A064244
- a(n) = a(n-1)+a(n-2)+a(n-3)+4*n^2-16*n+18 with a(0)=0, a(1)=0 and a(2)=1.at n=12A180669
- Number of n-game win/loss/draw series that contain at least one dead game.at n=8A181618
- Number of all polyhedra (tetrahedra of any orientation and octahedra) of any size, formed when intersecting a regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.at n=17A216175
- a(n) = n * A002445(n).at n=29A228838
- Positions of record high water marks in A246024.at n=31A246026
- Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5.at n=4A251901
- Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5.at n=3A251902
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5.at n=31A251905
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5.at n=32A251905
- G.f. satisfies: A(x) = A( -x/(1-4*x) ) / sqrt(1-4*x), with A(0)=1.at n=8A264231
- Numbers equal to the sum of three oblong numbers in arithmetic progression.at n=29A292314
- a(n) = a(n-1) + a(n-2) - n*a(floor(n/2)), where a(0) = 1, a(1) = 1, a(2) = 1.at n=18A298400
- a(n) = 36*n^2 - 8*n - 2 (n >=1).at n=16A304834
- Number of partitions of n with nine parts in which no part occurs more than twice.at n=32A320597
- Numbers k such that 393*2^k+1 is prime.at n=46A323041
- Number of Golomb partitions of n.at n=41A325858