A378893 Numbers that are a proper substring of the concatenation (with repetition) in increasing order of their prime factors.

333, 22564, 113113, 210526, 252310, 1143241, 3331233, 3710027, 31373137, 217893044, 433100023, 2263178956

Offset: 1

Author

Scott R. Shannon, Dec 10 2024

Keywords

• nonn
• base
• more

Examples

			333 is a term as 333 = 3 * 3 * 37 = "3337" when concatenated, which contains "333" as a substring.
113113 is a term as 113113 = 7 * 11 * 13 * 113 = "71113113" when concatenated, which contains "113113" as a substring.
433100023 is a term as 433100023 = 433 * 1000231 = "4331000231" when concatenated, which contains "433100023" as a substring.
		

Crossrefs

Cf. A027746, A378894, A376078, A372309, A371958, A371696, A372046, A371641.