2,718,584

2³ × 11 × 30893

Starting at 2,718,584, the Collatz iteration reaches 1 after 138 steps. The first transition is 1359292; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 30893

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,560,920

Proper Divisor Sum 2,842,336

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2718571 ← → #2718601

Radix Representation

Decimal	2718584
Binary	1010010111101101111000 (22 bits)
Octal	0o12275570
Hexadecimal	0x297B78

Divisor Catalog (16)

1 2 4 8 11 22 44 88 30,893 61,786 123,572 247,144 339,823 679,646 1,359,292 2,718,584

Collatz Trajectory (138 steps to reach 1)

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

2,718,584 1,359,292 679,646 339,823 1,019,470 509,735 1,529,206 764,603 2,293,810 1,146,905 3,440,716 1,720,358 860,179 2,580,538 1,290,269 3,870,808 1,935,404 967,702 483,851 1,451,554 725,777 2,177,332 1,088,666 544,333 1,633,000 816,500 408,250 204,125 612,376 306,188 153,094 76,547 229,642 114,821 344,464 172,232 86,116 43,058 21,529 64,588 32,294 16,147 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246

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