3,753,870

2 × 3 × 5 × 157 × 797

Starting at 3,753,870, the Collatz iteration reaches 1 after 185 steps. The first transition is 1876935; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 157 × 797

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,078,048

Proper Divisor Sum 5,324,178

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3753859 ← → #3753877

Radix Representation

Decimal	3753870
Binary	1110010100011110001110 (22 bits)
Octal	0o16243616
Hexadecimal	0x39478E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 157 314 471 785 797 942 1,570 1,594 2,355 2,391 3,985 4,710 4,782 7,970 11,955 23,910 125,129 250,258 375,387 625,645 750,774 1,251,290 1,876,935 3,753,870

Collatz Trajectory (185 steps to reach 1)

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

3,753,870 1,876,935 5,630,806 2,815,403 8,446,210 4,223,105 12,669,316 6,334,658 3,167,329 9,501,988 4,750,994 2,375,497 7,126,492 3,563,246 1,781,623 5,344,870 2,672,435 8,017,306 4,008,653 12,025,960 6,012,980 3,006,490 1,503,245 4,509,736 2,254,868 1,127,434 563,717 1,691,152 845,576 422,788 211,394 105,697 317,092 158,546 79,273 237,820 118,910 59,455 178,366 89,183 267,550 133,775 401,326 200,663 601,990 300,995 902,986 451,493 1,354,480 677,240 338,620 169,310 84,655 253,966 126,983 380,950 190,475 571,426 285,713 857,140

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