4,749,111

3⁴ × 58631

Starting at 4,749,111, the Collatz iteration reaches 1 after 149 steps. The first transition is 14247334; the starting value is odd with 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 58631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,094,472

Proper Divisor Sum 2,345,361

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4749097 ← → #4749131

Radix Representation

Decimal	4749111
Binary	10010000111011100110111 (23 bits)
Octal	0o22073467
Hexadecimal	0x487737

Divisor Catalog (10)

1 3 9 27 81 58,631 175,893 527,679 1,583,037 4,749,111

Collatz Trajectory (149 steps to reach 1)

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

4,749,111 14,247,334 7,123,667 21,371,002 10,685,501 32,056,504 16,028,252 8,014,126 4,007,063 12,021,190 6,010,595 18,031,786 9,015,893 27,047,680 13,523,840 6,761,920 3,380,960 1,690,480 845,240 422,620 211,310 105,655 316,966 158,483 475,450 237,725 713,176 356,588 178,294 89,147 267,442 133,721 401,164 200,582 100,291 300,874 150,437 451,312 225,656 112,828 56,414 28,207 84,622 42,311 126,934 63,467 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737

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