3,698,830

2 × 5 × 211 × 1753

Starting at 3,698,830, the Collatz iteration reaches 1 after 159 steps. The first transition is 1849415; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 211 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,693,264

Proper Divisor Sum 2,994,434

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3698819 ← → #3698831

Radix Representation

Decimal	3698830
Binary	1110000111000010001110 (22 bits)
Octal	0o16070216
Hexadecimal	0x38708E

Divisor Catalog (16)

1 2 5 10 211 422 1,055 1,753 2,110 3,506 8,765 17,530 369,883 739,766 1,849,415 3,698,830

Collatz Trajectory (159 steps to reach 1)

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

3,698,830 1,849,415 5,548,246 2,774,123 8,322,370 4,161,185 12,483,556 6,241,778 3,120,889 9,362,668 4,681,334 2,340,667 7,022,002 3,511,001 10,533,004 5,266,502 2,633,251 7,899,754 3,949,877 11,849,632 5,924,816 2,962,408 1,481,204 740,602 370,301 1,110,904 555,452 277,726 138,863 416,590 208,295 624,886 312,443 937,330 468,665 1,405,996 702,998 351,499 1,054,498 527,249 1,581,748 790,874 395,437 1,186,312 593,156 296,578 148,289 444,868 222,434 111,217 333,652 166,826 83,413 250,240 125,120 62,560 31,280 15,640 7,820 3,910

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