2,555,931

3 × 7 × 121711

Starting at 2,555,931, the Collatz iteration reaches 1 after 174 steps. The first transition is 7667794; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 121711

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,894,784

Proper Divisor Sum 1,338,853

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2555911 ← → #2555951

Radix Representation

Decimal	2555931
Binary	1001110000000000011011 (22 bits)
Octal	0o11600033
Hexadecimal	0x27001B

Divisor Catalog (8)

1 3 7 21 121,711 365,133 851,977 2,555,931

Collatz Trajectory (174 steps to reach 1)

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

2,555,931 7,667,794 3,833,897 11,501,692 5,750,846 2,875,423 8,626,270 4,313,135 12,939,406 6,469,703 19,409,110 9,704,555 29,113,666 14,556,833 43,670,500 21,835,250 10,917,625 32,752,876 16,376,438 8,188,219 24,564,658 12,282,329 36,846,988 18,423,494 9,211,747 27,635,242 13,817,621 41,452,864 20,726,432 10,363,216 5,181,608 2,590,804 1,295,402 647,701 1,943,104 971,552 485,776 242,888 121,444 60,722 30,361 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213

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