3,966,306

2 × 3 × 191 × 3461

Starting at 3,966,306, the Collatz iteration reaches 1 after 185 steps. The first transition is 1983153; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 191 × 3461

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,976,448

Proper Divisor Sum 4,010,142

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3966293 ← → #3966323

Radix Representation

Decimal	3966306
Binary	1111001000010101100010 (22 bits)
Octal	0o17102542
Hexadecimal	0x3C8562

Divisor Catalog (16)

1 2 3 6 191 382 573 1,146 3,461 6,922 10,383 20,766 661,051 1,322,102 1,983,153 3,966,306

Collatz Trajectory (185 steps to reach 1)

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

3,966,306 1,983,153 5,949,460 2,974,730 1,487,365 4,462,096 2,231,048 1,115,524 557,762 278,881 836,644 418,322 209,161 627,484 313,742 156,871 470,614 235,307 705,922 352,961 1,058,884 529,442 264,721 794,164 397,082 198,541 595,624 297,812 148,906 74,453 223,360 111,680 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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