8,209,263

3 × 1511 × 1811

8,209,263 has digital root 3. The neighboring primes are 8209261 and 8209277; its proper-divisor sum differs from the starting integer by -5,459,550.

Prime Factor Structure

Factorization String 3 × 1511 × 1811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,958,976

Proper Divisor Sum 2,749,713

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8209261 ← → #8209277

Radix Representation

Decimal	8209263
Binary	11111010100001101101111 (23 bits)
Octal	0o37241557
Hexadecimal	0x7D436F

Divisor Catalog (8)

1 3 1,511 1,811 4,533 5,433 2,736,421 8,209,263

Collatz Trajectory (124 steps to reach 1)

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

8,209,263 24,627,790 12,313,895 36,941,686 18,470,843 55,412,530 27,706,265 83,118,796 41,559,398 20,779,699 62,339,098 31,169,549 93,508,648 46,754,324 23,377,162 11,688,581 35,065,744 17,532,872 8,766,436 4,383,218 2,191,609 6,574,828 3,287,414 1,643,707 4,931,122 2,465,561 7,396,684 3,698,342 1,849,171 5,547,514 2,773,757 8,321,272 4,160,636 2,080,318 1,040,159 3,120,478 1,560,239 4,680,718 2,340,359 7,021,078 3,510,539 10,531,618 5,265,809 15,797,428 7,898,714 3,949,357 11,848,072 5,924,036 2,962,018 1,481,009 4,443,028 2,221,514 1,110,757 3,332,272 1,666,136 833,068 416,534 208,267 624,802 312,401

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