3,750,462

2 × 3⁵ × 7717

Starting at 3,750,462, the Collatz iteration reaches 1 after 203 steps. The first transition is 1875231; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 7717

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,428,056

Proper Divisor Sum 4,677,594

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3750451 ← → #3750493

Radix Representation

Decimal	3750462
Binary	1110010011101000111110 (22 bits)
Octal	0o16235076
Hexadecimal	0x393A3E

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 7,717 15,434 23,151 46,302 69,453 138,906 208,359 416,718 625,077 1,250,154 1,875,231 3,750,462

Collatz Trajectory (203 steps to reach 1)

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

3,750,462 1,875,231 5,625,694 2,812,847 8,438,542 4,219,271 12,657,814 6,328,907 18,986,722 9,493,361 28,480,084 14,240,042 7,120,021 21,360,064 10,680,032 5,340,016 2,670,008 1,335,004 667,502 333,751 1,001,254 500,627 1,501,882 750,941 2,252,824 1,126,412 563,206 281,603 844,810 422,405 1,267,216 633,608 316,804 158,402 79,201 237,604 118,802 59,401 178,204 89,102 44,551 133,654 66,827 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789

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