2,671,851

3 × 7 × 13 × 9787

Starting at 2,671,851, the Collatz iteration reaches 1 after 117 steps. The first transition is 8015554; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 9787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,385,024

Proper Divisor Sum 1,713,173

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2671849 ← → #2671883

Radix Representation

Decimal	2671851
Binary	1010001100010011101011 (22 bits)
Octal	0o12142353
Hexadecimal	0x28C4EB

Divisor Catalog (16)

1 3 7 13 21 39 91 273 9,787 29,361 68,509 127,231 205,527 381,693 890,617 2,671,851

Collatz Trajectory (117 steps to reach 1)

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

2,671,851 8,015,554 4,007,777 12,023,332 6,011,666 3,005,833 9,017,500 4,508,750 2,254,375 6,763,126 3,381,563 10,144,690 5,072,345 15,217,036 7,608,518 3,804,259 11,412,778 5,706,389 17,119,168 8,559,584 4,279,792 2,139,896 1,069,948 534,974 267,487 802,462 401,231 1,203,694 601,847 1,805,542 902,771 2,708,314 1,354,157 4,062,472 2,031,236 1,015,618 507,809 1,523,428 761,714 380,857 1,142,572 571,286 285,643 856,930 428,465 1,285,396 642,698 321,349 964,048 482,024 241,012 120,506 60,253 180,760 90,380 45,190 22,595 67,786 33,893 101,680

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