8,323,081

13² × 17 × 2897

Starting at 8,323,081, the Collatz iteration reaches 1 after 93 steps. The first transition is 24969244; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 17 × 2897

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,546,012

Proper Divisor Sum 1,222,931

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8323069 ← → #8323099

Radix Representation

Decimal	8323081
Binary	11111110000000000001001 (23 bits)
Octal	0o37600011
Hexadecimal	0x7F0009

Divisor Catalog (12)

1 13 17 169 221 2,873 2,897 37,661 49,249 489,593 640,237 8,323,081

Collatz Trajectory (93 steps to reach 1)

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

8,323,081 24,969,244 12,484,622 6,242,311 18,726,934 9,363,467 28,090,402 14,045,201 42,135,604 21,067,802 10,533,901 31,601,704 15,800,852 7,900,426 3,950,213 11,850,640 5,925,320 2,962,660 1,481,330 740,665 2,221,996 1,110,998 555,499 1,666,498 833,249 2,499,748 1,249,874 624,937 1,874,812 937,406 468,703 1,406,110 703,055 2,109,166 1,054,583 3,163,750 1,581,875 4,745,626 2,372,813 7,118,440 3,559,220 1,779,610 889,805 2,669,416 1,334,708 667,354 333,677 1,001,032 500,516 250,258 125,129 375,388 187,694 93,847 281,542 140,771 422,314 211,157 633,472 316,736

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