3,412,370

2 × 5 × 13 × 26249

Starting at 3,412,370, the Collatz iteration reaches 1 after 177 steps. The first transition is 1706185; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 26249

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,615,000

Proper Divisor Sum 3,202,630

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3412361 ← → #3412373

Radix Representation

Decimal	3412370
Binary	1101000001000110010010 (22 bits)
Octal	0o15010622
Hexadecimal	0x341192

Divisor Catalog (16)

1 2 5 10 13 26 65 130 26,249 52,498 131,245 262,490 341,237 682,474 1,706,185 3,412,370

Collatz Trajectory (177 steps to reach 1)

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

3,412,370 1,706,185 5,118,556 2,559,278 1,279,639 3,838,918 1,919,459 5,758,378 2,879,189 8,637,568 4,318,784 2,159,392 1,079,696 539,848 269,924 134,962 67,481 202,444 101,222 50,611 151,834 75,917 227,752 113,876 56,938 28,469 85,408 42,704 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688

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