8,049,665

5 × 13 × 59 × 2099

Starting at 8,049,665, the Collatz iteration reaches 1 after 93 steps. The first transition is 24148996; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 59 × 2099

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,584,000

Proper Divisor Sum 2,534,335

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8049611 ← → #8049703

Radix Representation

Decimal	8049665
Binary	11110101101010000000001 (23 bits)
Octal	0o36552001
Hexadecimal	0x7AD401

Divisor Catalog (16)

1 5 13 59 65 295 767 2,099 3,835 10,495 27,287 123,841 136,435 619,205 1,609,933 8,049,665

Collatz Trajectory (93 steps to reach 1)

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

8,049,665 24,148,996 12,074,498 6,037,249 18,111,748 9,055,874 4,527,937 13,583,812 6,791,906 3,395,953 10,187,860 5,093,930 2,546,965 7,640,896 3,820,448 1,910,224 955,112 477,556 238,778 119,389 358,168 179,084 89,542 44,771 134,314 67,157 201,472 100,736 50,368 25,184 12,592 6,296 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

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