2,717,781

3 × 11² × 7487

Starting at 2,717,781, the Collatz iteration reaches 1 after 112 steps. The first transition is 8153344; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 7487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,983,616

Proper Divisor Sum 1,265,835

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2717753 ← → #2717783

Radix Representation

Decimal	2717781
Binary	1010010111100001010101 (22 bits)
Octal	0o12274125
Hexadecimal	0x297855

Divisor Catalog (12)

1 3 11 33 121 363 7,487 22,461 82,357 247,071 905,927 2,717,781

Collatz Trajectory (112 steps to reach 1)

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

2,717,781 8,153,344 4,076,672 2,038,336 1,019,168 509,584 254,792 127,396 63,698 31,849 95,548 47,774 23,887 71,662 35,831 107,494 53,747 161,242 80,621 241,864 120,932 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875

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