25,757,766

2 × 3² × 1430987

25,757,766 factors as 2 × 3^2 × 1430987. Its 12 positive divisors give a proper-divisor sum of 30,050,766, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1430987

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 55,808,532

Proper Divisor Sum 30,050,766

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #25757761 ← → #25757773

Radix Representation

Decimal	25757766
Binary	1100010010000100001000110 (25 bits)
Octal	0o142204106
Hexadecimal	0x1890846

Divisor Catalog (12)

1 2 3 6 9 18 1,430,987 2,861,974 4,292,961 8,585,922 12,878,883 25,757,766

Collatz Trajectory (167 steps to reach 1)

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

25,757,766 12,878,883 38,636,650 19,318,325 57,954,976 28,977,488 14,488,744 7,244,372 3,622,186 1,811,093 5,433,280 2,716,640 1,358,320 679,160 339,580 169,790 84,895 254,686 127,343 382,030 191,015 573,046 286,523 859,570 429,785 1,289,356 644,678 322,339 967,018 483,509 1,450,528 725,264 362,632 181,316 90,658 45,329 135,988 67,994 33,997 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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