1,049,049

3² × 229 × 509

1,049,049 has digital root 9. The neighboring primes are 1049039 and 1049051; its proper-divisor sum differs from the starting integer by -573,198.

Prime Factor Structure

Factorization String 3^2 × 229 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,524,900

Proper Divisor Sum 475,851

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1049039 ← → #1049051

Radix Representation

Decimal	1049049
Binary	100000000000111011001 (21 bits)
Octal	0o4000731
Hexadecimal	0x1001D9

Divisor Catalog (12)

1 3 9 229 509 687 1,527 2,061 4,581 116,561 349,683 1,049,049

Collatz Trajectory (103 steps to reach 1)

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

1,049,049 3,147,148 1,573,574 786,787 2,360,362 1,180,181 3,540,544 1,770,272 885,136 442,568 221,284 110,642 55,321 165,964 82,982 41,491 124,474 62,237 186,712 93,356 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386 19,693 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114

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