3,644,346

2 × 3 × 103 × 5897

Starting at 3,644,346, the Collatz iteration reaches 1 after 203 steps. The first transition is 1822173; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 103 × 5897

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,360,704

Proper Divisor Sum 3,716,358

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3644339 ← → #3644351

Radix Representation

Decimal	3644346
Binary	1101111001101110111010 (22 bits)
Octal	0o15715672
Hexadecimal	0x379BBA

Divisor Catalog (16)

1 2 3 6 103 206 309 618 5,897 11,794 17,691 35,382 607,391 1,214,782 1,822,173 3,644,346

Collatz Trajectory (203 steps to reach 1)

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

3,644,346 1,822,173 5,466,520 2,733,260 1,366,630 683,315 2,049,946 1,024,973 3,074,920 1,537,460 768,730 384,365 1,153,096 576,548 288,274 144,137 432,412 216,206 108,103 324,310 162,155 486,466 243,233 729,700 364,850 182,425 547,276 273,638 136,819 410,458 205,229 615,688 307,844 153,922 76,961 230,884 115,442 57,721 173,164 86,582 43,291 129,874 64,937 194,812 97,406 48,703 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692

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