4,406,626

2 × 7 × 37 × 47 × 181

Starting at 4,406,626, the Collatz iteration reaches 1 after 211 steps. The first transition is 2203313; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 47 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,967,232

Proper Divisor Sum 3,560,606

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4406599 ← → #4406627

Radix Representation

Decimal	4406626
Binary	10000110011110101100010 (23 bits)
Octal	0o20636542
Hexadecimal	0x433D62

Divisor Catalog (32)

1 2 7 14 37 47 74 94 181 259 329 362 518 658 1,267 1,739 2,534 3,478 6,697 8,507 12,173 13,394 17,014 24,346 46,879 59,549 93,758 119,098 314,759 629,518 2,203,313 4,406,626

Collatz Trajectory (211 steps to reach 1)

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

4,406,626 2,203,313 6,609,940 3,304,970 1,652,485 4,957,456 2,478,728 1,239,364 619,682 309,841 929,524 464,762 232,381 697,144 348,572 174,286 87,143 261,430 130,715 392,146 196,073 588,220 294,110 147,055 441,166 220,583 661,750 330,875 992,626 496,313 1,488,940 744,470 372,235 1,116,706 558,353 1,675,060 837,530 418,765 1,256,296 628,148 314,074 157,037 471,112 235,556 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950

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