4,414,388

2² × 11 × 41 × 2447

Starting at 4,414,388, the Collatz iteration reaches 1 after 149 steps. The first transition is 2207194; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 41 × 2447

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,636,544

Proper Divisor Sum 4,222,156

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4414379 ← → #4414411

Radix Representation

Decimal	4414388
Binary	10000110101101110110100 (23 bits)
Octal	0o20655664
Hexadecimal	0x435BB4

Divisor Catalog (24)

1 2 4 11 22 41 44 82 164 451 902 1,804 2,447 4,894 9,788 26,917 53,834 100,327 107,668 200,654 401,308 1,103,597 2,207,194 4,414,388

Collatz Trajectory (149 steps to reach 1)

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

4,414,388 2,207,194 1,103,597 3,310,792 1,655,396 827,698 413,849 1,241,548 620,774 310,387 931,162 465,581 1,396,744 698,372 349,186 174,593 523,780 261,890 130,945 392,836 196,418 98,209 294,628 147,314 73,657 220,972 110,486 55,243 165,730 82,865 248,596 124,298 62,149 186,448 93,224 46,612 23,306 11,653 34,960 17,480 8,740 4,370 2,185 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024

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