3,746,939

7 × 31² × 557

Starting at 3,746,939, the Collatz iteration reaches 1 after 141 steps. The first transition is 11240818; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 31^2 × 557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,432,752

Proper Divisor Sum 685,813

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3746929 ← → #3746969

Radix Representation

Decimal	3746939
Binary	1110010010110001111011 (22 bits)
Octal	0o16226173
Hexadecimal	0x392C7B

Divisor Catalog (12)

1 7 31 217 557 961 3,899 6,727 17,267 120,869 535,277 3,746,939

Collatz Trajectory (141 steps to reach 1)

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

3,746,939 11,240,818 5,620,409 16,861,228 8,430,614 4,215,307 12,645,922 6,322,961 18,968,884 9,484,442 4,742,221 14,226,664 7,113,332 3,556,666 1,778,333 5,335,000 2,667,500 1,333,750 666,875 2,000,626 1,000,313 3,000,940 1,500,470 750,235 2,250,706 1,125,353 3,376,060 1,688,030 844,015 2,532,046 1,266,023 3,798,070 1,899,035 5,697,106 2,848,553 8,545,660 4,272,830 2,136,415 6,409,246 3,204,623 9,613,870 4,806,935 14,420,806 7,210,403 21,631,210 10,815,605 32,446,816 16,223,408 8,111,704 4,055,852 2,027,926 1,013,963 3,041,890 1,520,945 4,562,836 2,281,418 1,140,709 3,422,128 1,711,064 855,532

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