2,737,405

5 × 11 × 71 × 701

Starting at 2,737,405, the Collatz iteration reaches 1 after 169 steps. The first transition is 8212216; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 71 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,639,168

Proper Divisor Sum 901,763

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2737367 ← → #2737409

Radix Representation

Decimal	2737405
Binary	1010011100010011111101 (22 bits)
Octal	0o12342375
Hexadecimal	0x29C4FD

Divisor Catalog (16)

1 5 11 55 71 355 701 781 3,505 3,905 7,711 38,555 49,771 248,855 547,481 2,737,405

Collatz Trajectory (169 steps to reach 1)

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

2,737,405 8,212,216 4,106,108 2,053,054 1,026,527 3,079,582 1,539,791 4,619,374 2,309,687 6,929,062 3,464,531 10,393,594 5,196,797 15,590,392 7,795,196 3,897,598 1,948,799 5,846,398 2,923,199 8,769,598 4,384,799 13,154,398 6,577,199 19,731,598 9,865,799 29,597,398 14,798,699 44,396,098 22,198,049 66,594,148 33,297,074 16,648,537 49,945,612 24,972,806 12,486,403 37,459,210 18,729,605 56,188,816 28,094,408 14,047,204 7,023,602 3,511,801 10,535,404 5,267,702 2,633,851 7,901,554 3,950,777 11,852,332 5,926,166 2,963,083 8,889,250 4,444,625 13,333,876 6,666,938 3,333,469 10,000,408 5,000,204 2,500,102 1,250,051 3,750,154

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