2,658,138

2 × 3 × 7 × 19 × 3331

Starting at 2,658,138, the Collatz iteration reaches 1 after 231 steps. The first transition is 1329069; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19 × 3331

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,397,440

Proper Divisor Sum 3,739,302

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2658107 ← → #2658193

Radix Representation

Decimal	2658138
Binary	1010001000111101011010 (22 bits)
Octal	0o12107532
Hexadecimal	0x288F5A

Divisor Catalog (32)

1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 3,331 6,662 9,993 19,986 23,317 46,634 63,289 69,951 126,578 139,902 189,867 379,734 443,023 886,046 1,329,069 2,658,138

Collatz Trajectory (231 steps to reach 1)

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

2,658,138 1,329,069 3,987,208 1,993,604 996,802 498,401 1,495,204 747,602 373,801 1,121,404 560,702 280,351 841,054 420,527 1,261,582 630,791 1,892,374 946,187 2,838,562 1,419,281 4,257,844 2,128,922 1,064,461 3,193,384 1,596,692 798,346 399,173 1,197,520 598,760 299,380 149,690 74,845 224,536 112,268 56,134 28,067 84,202 42,101 126,304 63,152 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812

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