5,339,048

2³ × 11 × 13² × 359

Starting at 5,339,048, the Collatz iteration reaches 1 after 263 steps. The first transition is 2669524; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 13^2 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,858,400

Proper Divisor Sum 6,519,352

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5339039 ← → #5339051

Radix Representation

Decimal	5339048
Binary	10100010111011110101000 (23 bits)
Octal	0o24273650
Hexadecimal	0x5177A8

Divisor Catalog (48)

1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 359 572 676 718 1,144 1,352 1,436 1,859 2,872 3,718 3,949 4,667 7,436 7,898 9,334 14,872 15,796 18,668 31,592 37,336 51,337 60,671 102,674 121,342 205,348 242,684 410,696 485,368 667,381 1,334,762 2,669,524 5,339,048

Collatz Trajectory (263 steps to reach 1)

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

5,339,048 2,669,524 1,334,762 667,381 2,002,144 1,001,072 500,536 250,268 125,134 62,567 187,702 93,851 281,554 140,777 422,332 211,166 105,583 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754 507,377 1,522,132 761,066 380,533 1,141,600 570,800 285,400 142,700 71,350 35,675 107,026 53,513 160,540 80,270 40,135 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188

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