3,676,578

2 × 3 × 612763

Starting at 3,676,578, the Collatz iteration reaches 1 after 216 steps. The first transition is 1838289; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 612763

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,353,168

Proper Divisor Sum 3,676,590

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3676577 ← → #3676583

Radix Representation

Decimal	3676578
Binary	1110000001100110100010 (22 bits)
Octal	0o16014642
Hexadecimal	0x3819A2

Divisor Catalog (8)

1 2 3 6 612,763 1,225,526 1,838,289 3,676,578

Collatz Trajectory (216 steps to reach 1)

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

3,676,578 1,838,289 5,514,868 2,757,434 1,378,717 4,136,152 2,068,076 1,034,038 517,019 1,551,058 775,529 2,326,588 1,163,294 581,647 1,744,942 872,471 2,617,414 1,308,707 3,926,122 1,963,061 5,889,184 2,944,592 1,472,296 736,148 368,074 184,037 552,112 276,056 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323

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