4,048,749

3² × 349 × 1289

Starting at 4,048,749, the Collatz iteration reaches 1 after 84 steps. The first transition is 12146248; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 349 × 1289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,869,500

Proper Divisor Sum 1,820,751

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4048747 ← → #4048769

Radix Representation

Decimal	4048749
Binary	1111011100011101101101 (22 bits)
Octal	0o17343555
Hexadecimal	0x3DC76D

Divisor Catalog (12)

1 3 9 349 1,047 1,289 3,141 3,867 11,601 449,861 1,349,583 4,048,749

Collatz Trajectory (84 steps to reach 1)

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

4,048,749 12,146,248 6,073,124 3,036,562 1,518,281 4,554,844 2,277,422 1,138,711 3,416,134 1,708,067 5,124,202 2,562,101 7,686,304 3,843,152 1,921,576 960,788 480,394 240,197 720,592 360,296 180,148 90,074 45,037 135,112 67,556 33,778 16,889 50,668 25,334 12,667 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282

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