3,371,347

7³ × 9829

Starting at 3,371,347, the Collatz iteration reaches 1 after 208 steps. The first transition is 10114042; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7^3 × 9829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,932,000

Proper Divisor Sum 560,653

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3371339 ← → #3371351

Radix Representation

Decimal	3371347
Binary	1100110111000101010011 (22 bits)
Octal	0o14670523
Hexadecimal	0x337153

Divisor Catalog (8)

1 7 49 343 9,829 68,803 481,621 3,371,347

Collatz Trajectory (208 steps to reach 1)

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

3,371,347 10,114,042 5,057,021 15,171,064 7,585,532 3,792,766 1,896,383 5,689,150 2,844,575 8,533,726 4,266,863 12,800,590 6,400,295 19,200,886 9,600,443 28,801,330 14,400,665 43,201,996 21,600,998 10,800,499 32,401,498 16,200,749 48,602,248 24,301,124 12,150,562 6,075,281 18,225,844 9,112,922 4,556,461 13,669,384 6,834,692 3,417,346 1,708,673 5,126,020 2,563,010 1,281,505 3,844,516 1,922,258 961,129 2,883,388 1,441,694 720,847 2,162,542 1,081,271 3,243,814 1,621,907 4,865,722 2,432,861 7,298,584 3,649,292 1,824,646 912,323 2,736,970 1,368,485 4,105,456 2,052,728 1,026,364 513,182 256,591 769,774

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