3,716,562

2 × 3 × 313 × 1979

Starting at 3,716,562, the Collatz iteration reaches 1 after 203 steps. The first transition is 1858281; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 313 × 1979

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,460,640

Proper Divisor Sum 3,744,078

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3716543 ← → #3716567

Radix Representation

Decimal	3716562
Binary	1110001011010111010010 (22 bits)
Octal	0o16132722
Hexadecimal	0x38B5D2

Divisor Catalog (16)

1 2 3 6 313 626 939 1,878 1,979 3,958 5,937 11,874 619,427 1,238,854 1,858,281 3,716,562

Collatz Trajectory (203 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,716,562 1,858,281 5,574,844 2,787,422 1,393,711 4,181,134 2,090,567 6,271,702 3,135,851 9,407,554 4,703,777 14,111,332 7,055,666 3,527,833 10,583,500 5,291,750 2,645,875 7,937,626 3,968,813 11,906,440 5,953,220 2,976,610 1,488,305 4,464,916 2,232,458 1,116,229 3,348,688 1,674,344 837,172 418,586 209,293 627,880 313,940 156,970 78,485 235,456 117,728 58,864 29,432 14,716 7,358 3,679 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655

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