1,782,263

7 × 17² × 881

Prime Factor Structure

Factorization String 7 × 17^2 × 881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,166,192

Proper Divisor Sum 383,929

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1782241 ← → #1782269

Radix Representation

Decimal	1782263
Binary	110110011000111110111 (21 bits)
Octal	0o6630767
Hexadecimal	0x1B31F7

Divisor Catalog (12)

1 7 17 119 289 881 2,023 6,167 14,977 104,839 254,609 1,782,263

Collatz Trajectory (282 steps to reach 1)

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

1,782,263 5,346,790 2,673,395 8,020,186 4,010,093 12,030,280 6,015,140 3,007,570 1,503,785 4,511,356 2,255,678 1,127,839 3,383,518 1,691,759 5,075,278 2,537,639 7,612,918 3,806,459 11,419,378 5,709,689 17,129,068 8,564,534 4,282,267 12,846,802 6,423,401 19,270,204 9,635,102 4,817,551 14,452,654 7,226,327 21,678,982 10,839,491 32,518,474 16,259,237 48,777,712 24,388,856 12,194,428 6,097,214 3,048,607 9,145,822 4,572,911 13,718,734 6,859,367 20,578,102 10,289,051 30,867,154 15,433,577 46,300,732 23,150,366 11,575,183 34,725,550 17,362,775 52,088,326 26,044,163 78,132,490 39,066,245 117,198,736 58,599,368 29,299,684 14,649,842

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