2,762,571

3 × 7² × 18793

Starting at 2,762,571, the Collatz iteration reaches 1 after 125 steps. The first transition is 8287714; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 18793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,285,032

Proper Divisor Sum 1,522,461

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2762567 ← → #2762587

Radix Representation

Decimal	2762571
Binary	1010100010011101001011 (22 bits)
Octal	0o12423513
Hexadecimal	0x2A274B

Divisor Catalog (12)

1 3 7 21 49 147 18,793 56,379 131,551 394,653 920,857 2,762,571

Collatz Trajectory (125 steps to reach 1)

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

2,762,571 8,287,714 4,143,857 12,431,572 6,215,786 3,107,893 9,323,680 4,661,840 2,330,920 1,165,460 582,730 291,365 874,096 437,048 218,524 109,262 54,631 163,894 81,947 245,842 122,921 368,764 184,382 92,191 276,574 138,287 414,862 207,431 622,294 311,147 933,442 466,721 1,400,164 700,082 350,041 1,050,124 525,062 262,531 787,594 393,797 1,181,392 590,696 295,348 147,674 73,837 221,512 110,756 55,378 27,689 83,068 41,534 20,767 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137

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