3,643,138

2 × 73 × 24953

Starting at 3,643,138, the Collatz iteration reaches 1 after 203 steps. The first transition is 1821569; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 24953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,539,788

Proper Divisor Sum 1,896,650

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3643127 ← → #3643139

Radix Representation

Decimal	3643138
Binary	1101111001011100000010 (22 bits)
Octal	0o15713402
Hexadecimal	0x379702

Divisor Catalog (8)

1 2 73 146 24,953 49,906 1,821,569 3,643,138

Collatz Trajectory (203 steps to reach 1)

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

3,643,138 1,821,569 5,464,708 2,732,354 1,366,177 4,098,532 2,049,266 1,024,633 3,073,900 1,536,950 768,475 2,305,426 1,152,713 3,458,140 1,729,070 864,535 2,593,606 1,296,803 3,890,410 1,945,205 5,835,616 2,917,808 1,458,904 729,452 364,726 182,363 547,090 273,545 820,636 410,318 205,159 615,478 307,739 923,218 461,609 1,384,828 692,414 346,207 1,038,622 519,311 1,557,934 778,967 2,336,902 1,168,451 3,505,354 1,752,677 5,258,032 2,629,016 1,314,508 657,254 328,627 985,882 492,941 1,478,824 739,412 369,706 184,853 554,560 277,280 138,640

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