11266
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17424
- Proper Divisor Sum (Aliquot Sum)
- 6158
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5460
- Möbius Function
- -1
- Radical
- 11266
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 60
- 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(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=32A010003
- Least term in period of continued fraction for sqrt(n) is 7.at n=20A031431
- Number of partitions of n^2 into squares not greater than n.at n=18A093115
- Expansion of eta(q^6) * eta(q^10) / (eta(q) * eta(q^15)) in powers of q.at n=37A094023
- (1/12)*Number of non-degenerate obtuse triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube.at n=3A103428
- Numbers k such that 13^k == 15 (mod k).at n=5A116639
- 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=36A123630
- 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=36A145786
- 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), (-1, 1, 1), (0, 1, 0), (1, 0, 0)}.at n=8A150046
- Numbers x such that 0 < |x^11 - y^8| < x^(69/8) for some number y.at n=1A173375
- a(n) = n*(6*n+4).at n=43A202804
- Number of permutations of [n+1] avoiding 2413, 3142, 1324, 4231.at n=9A220874
- Number of (3+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically.at n=10A253700
- Composites c where at least one base b with 1 < b < c exists such that b^(c-1) == 1 (mod c^2), i.e., composites c that are base-b 'Wieferich pseudoprimes' for at least one b between 1 and c.at n=32A267288
- Number of plane partitions of n where parts are colored in 2 colors.at n=8A306099
- Square array T(n,k) = number of plane partitions of n with parts colored in (at most) k colors; n >= 0, k >= 0; read by antidiagonals.at n=63A306100
- Square array T(n,k) = number of plane partitions of n with parts colored in (at most) k colors; n, k >= 1; read by antidiagonals.at n=43A306101
- Number of 12-regular partitions of n (no part is a multiple of 12).at n=34A328546
- Number of integer compositions of n whose parts all have the same number of prime factors, counted with multiplicity.at n=27A358911