8,262,812

2² × 41 × 50383

8,262,812 factors as 2^2 × 41 × 50383. Its 12 positive divisors give a proper-divisor sum of 6,550,084, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 50383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,812,896

Proper Divisor Sum 6,550,084

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8262811 ← → #8262823

Radix Representation

Decimal	8262812
Binary	11111100001010010011100 (23 bits)
Octal	0o37412234
Hexadecimal	0x7E149C

Divisor Catalog (12)

1 2 4 41 82 164 50,383 100,766 201,532 2,065,703 4,131,406 8,262,812

Collatz Trajectory (199 steps to reach 1)

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

8,262,812 4,131,406 2,065,703 6,197,110 3,098,555 9,295,666 4,647,833 13,943,500 6,971,750 3,485,875 10,457,626 5,228,813 15,686,440 7,843,220 3,921,610 1,960,805 5,882,416 2,941,208 1,470,604 735,302 367,651 1,102,954 551,477 1,654,432 827,216 413,608 206,804 103,402 51,701 155,104 77,552 38,776 19,388 9,694 4,847 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420

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