2,709,908

2² × 191 × 3547

Starting at 2,709,908, the Collatz iteration reaches 1 after 112 steps. The first transition is 1354954; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 191 × 3547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,768,512

Proper Divisor Sum 2,058,604

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2709907 ← → #2709923

Radix Representation

Decimal	2709908
Binary	1010010101100110010100 (22 bits)
Octal	0o12254624
Hexadecimal	0x295994

Divisor Catalog (12)

1 2 4 191 382 764 3,547 7,094 14,188 677,477 1,354,954 2,709,908

Collatz Trajectory (112 steps to reach 1)

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

2,709,908 1,354,954 677,477 2,032,432 1,016,216 508,108 254,054 127,027 381,082 190,541 571,624 285,812 142,906 71,453 214,360 107,180 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478

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