8,097,522

2 × 3 × 137 × 9851

8,097,522 factors as 2 × 3 × 137 × 9851. Its 16 positive divisors give a proper-divisor sum of 8,217,390, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3 × 137 × 9851

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,314,912

Proper Divisor Sum 8,217,390

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8097521 ← → #8097527

Radix Representation

Decimal	8097522
Binary	11110111000111011110010 (23 bits)
Octal	0o36707362
Hexadecimal	0x7B8EF2

Divisor Catalog (16)

1 2 3 6 137 274 411 822 9,851 19,702 29,553 59,106 1,349,587 2,699,174 4,048,761 8,097,522

Collatz Trajectory (137 steps to reach 1)

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

8,097,522 4,048,761 12,146,284 6,073,142 3,036,571 9,109,714 4,554,857 13,664,572 6,832,286 3,416,143 10,248,430 5,124,215 15,372,646 7,686,323 23,058,970 11,529,485 34,588,456 17,294,228 8,647,114 4,323,557 12,970,672 6,485,336 3,242,668 1,621,334 810,667 2,432,002 1,216,001 3,648,004 1,824,002 912,001 2,736,004 1,368,002 684,001 2,052,004 1,026,002 513,001 1,539,004 769,502 384,751 1,154,254 577,127 1,731,382 865,691 2,597,074 1,298,537 3,895,612 1,947,806 973,903 2,921,710 1,460,855 4,382,566 2,191,283 6,573,850 3,286,925 9,860,776 4,930,388 2,465,194 1,232,597 3,697,792 1,848,896

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