3,382,756

2² × 13 × 65053

Starting at 3,382,756, the Collatz iteration reaches 1 after 84 steps. The first transition is 1691378; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 65053

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,375,292

Proper Divisor Sum 2,992,536

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3382733 ← → #3382759

Radix Representation

Decimal	3382756
Binary	1100111001110111100100 (22 bits)
Octal	0o14716744
Hexadecimal	0x339DE4

Divisor Catalog (12)

1 2 4 13 26 52 65,053 130,106 260,212 845,689 1,691,378 3,382,756

Collatz Trajectory (84 steps to reach 1)

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

3,382,756 1,691,378 845,689 2,537,068 1,268,534 634,267 1,902,802 951,401 2,854,204 1,427,102 713,551 2,140,654 1,070,327 3,210,982 1,605,491 4,816,474 2,408,237 7,224,712 3,612,356 1,806,178 903,089 2,709,268 1,354,634 677,317 2,031,952 1,015,976 507,988 253,994 126,997 380,992 190,496 95,248 47,624 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101

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