6,339,312

2⁴ × 3² × 7 × 19 × 331

Starting at 6,339,312, the Collatz iteration reaches 1 after 77 steps. The first transition is 3169656; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 19 × 331

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 21,407,360

Proper Divisor Sum 15,068,048

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6339299 ← → #6339323

Radix Representation

Decimal	6339312
Binary	11000001011101011110000 (23 bits)
Octal	0o30135360
Hexadecimal	0x60BAF0

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 331 336 342 399 456 504 532 662 684 798 912 993 1,008 1,064 1,197 1,324 1,368 1,596 1,986 2,128 2,317 2,394

Collatz Trajectory (77 steps to reach 1)

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

6,339,312 3,169,656 1,584,828 792,414 396,207 1,188,622 594,311 1,782,934 891,467 2,674,402 1,337,201 4,011,604 2,005,802 1,002,901 3,008,704 1,504,352 752,176 376,088 188,044 94,022 47,011 141,034 70,517 211,552 105,776 52,888 26,444 13,222 6,611 19,834 9,917 29,752 14,876 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120

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