4,437,384

2³ × 3 × 7 × 61 × 433

Starting at 4,437,384, the Collatz iteration reaches 1 after 61 steps. The first transition is 2218692; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 61 × 433

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 12,915,840

Proper Divisor Sum 8,478,456

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4437383 ← → #4437403

Radix Representation

Decimal	4437384
Binary	10000111011010110001000 (23 bits)
Octal	0o20732610
Hexadecimal	0x43B588

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 433 488 732 854 866 1,281 1,299 1,464 1,708 1,732 2,562 2,598 3,031 3,416 3,464 5,124 5,196 6,062 9,093 10,248 10,392 12,124 18,186 24,248 26,413 36,372 52,826 72,744 79,239 105,652 158,478 184,891 211,304 316,956 369,782 554,673 633,912 739,564

Collatz Trajectory (61 steps to reach 1)

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

4,437,384 2,218,692 1,109,346 554,673 1,664,020 832,010 416,005 1,248,016 624,008 312,004 156,002 78,001 234,004 117,002 58,501 175,504 87,752 43,876 21,938 10,969 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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