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

Author

Scott R. Shannon, Jul 28 2022

Keywords

• nonn
• base

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.

Examples

			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.
		

Links

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

Crossrefs

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