A356176 Numbers that can be written as the product of three divisors greater than 1 such that the number in binary is contained in the string concatenation of the divisors in binary.

30, 60, 63, 90, 110, 120, 126, 180, 220, 228, 240, 252, 340, 350, 430, 440, 480, 495, 504, 606, 612, 680, 759, 840, 860, 880, 891, 927, 957, 960, 990, 1008, 1212, 1224, 1320, 1526, 1710, 1720, 1755, 1760, 1782, 1854, 1920, 1980, 2016, 2376, 2424, 2466, 2640, 2925, 2955, 2990, 3045, 3050

Offset

1,1

Comments

See A356143 for the list of numbers that have two or more ways to be written as the product of three divisors such that the number in binary is contained in the string concatenation of the divisors in binary.

Links

Table of n, a(n) for n=1..54.

Scott R. Shannon, Divisor products up to 100 million.

Example

30 is a term as 30 = 11110_2 = 5 * 3 * 2 = 101_2 * 11_2 * 10_2 and "101" + "11" + "10" = "1011110" contains "11110".
3050 is a term as 3050 = 101111101010_2 = 5 * 122 * 5 = 101_2 * 1111010_2 * 101_2 and "101" + "1111010" + "101" = "1011111010101" contains "101111101010".
See the attached text file for other examples.

Crossrefs

Cf. A356143, A355791, A355790, A355852, A355857, A030190, A355852, A210959, A027750.

Sequence in context: A271744 A121960 A040870 * A343340 A280011 A175785

Adjacent sequences: A356173 A356174 A356175 * A356177 A356178 A356179

Keyword

nonn,base

Author

Scott R. Shannon, Jul 28 2022

Status

approved