3,656,427

3 × 311 × 3919

Starting at 3,656,427, the Collatz iteration reaches 1 after 340 steps. The first transition is 10969282; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 311 × 3919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,892,160

Proper Divisor Sum 1,235,733

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3656413 ← → #3656437

Radix Representation

Decimal	3656427
Binary	1101111100101011101011 (22 bits)
Octal	0o15745353
Hexadecimal	0x37CAEB

Divisor Catalog (8)

1 3 311 933 3,919 11,757 1,218,809 3,656,427

Collatz Trajectory (340 steps to reach 1)

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

3,656,427 10,969,282 5,484,641 16,453,924 8,226,962 4,113,481 12,340,444 6,170,222 3,085,111 9,255,334 4,627,667 13,883,002 6,941,501 20,824,504 10,412,252 5,206,126 2,603,063 7,809,190 3,904,595 11,713,786 5,856,893 17,570,680 8,785,340 4,392,670 2,196,335 6,589,006 3,294,503 9,883,510 4,941,755 14,825,266 7,412,633 22,237,900 11,118,950 5,559,475 16,678,426 8,339,213 25,017,640 12,508,820 6,254,410 3,127,205 9,381,616 4,690,808 2,345,404 1,172,702 586,351 1,759,054 879,527 2,638,582 1,319,291 3,957,874 1,978,937 5,936,812 2,968,406 1,484,203 4,452,610 2,226,305 6,678,916 3,339,458 1,669,729 5,009,188

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