3,784,502

2 × 809 × 2339

Starting at 3,784,502, the Collatz iteration reaches 1 after 154 steps. The first transition is 1892251; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 809 × 2339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,686,200

Proper Divisor Sum 1,901,698

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3784499 ← → #3784507

Radix Representation

Decimal	3784502
Binary	1110011011111100110110 (22 bits)
Octal	0o16337466
Hexadecimal	0x39BF36

Divisor Catalog (8)

1 2 809 1,618 2,339 4,678 1,892,251 3,784,502

Collatz Trajectory (154 steps to reach 1)

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

3,784,502 1,892,251 5,676,754 2,838,377 8,515,132 4,257,566 2,128,783 6,386,350 3,193,175 9,579,526 4,789,763 14,369,290 7,184,645 21,553,936 10,776,968 5,388,484 2,694,242 1,347,121 4,041,364 2,020,682 1,010,341 3,031,024 1,515,512 757,756 378,878 189,439 568,318 284,159 852,478 426,239 1,278,718 639,359 1,918,078 959,039 2,877,118 1,438,559 4,315,678 2,157,839 6,473,518 3,236,759 9,710,278 4,855,139 14,565,418 7,282,709 21,848,128 10,924,064 5,462,032 2,731,016 1,365,508 682,754 341,377 1,024,132 512,066 256,033 768,100 384,050 192,025 576,076 288,038 144,019

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