8,272,498

2 × 13 × 318173

Starting at 8,272,498, the Collatz iteration reaches 1 after 111 steps. The first transition is 4136249; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 318173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,363,308

Proper Divisor Sum 5,090,810

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8272493 ← → #8272513

Radix Representation

Decimal	8272498
Binary	11111100011101001110010 (23 bits)
Octal	0o37435162
Hexadecimal	0x7E3A72

Divisor Catalog (8)

1 2 13 26 318,173 636,346 4,136,249 8,272,498

Collatz Trajectory (111 steps to reach 1)

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

8,272,498 4,136,249 12,408,748 6,204,374 3,102,187 9,306,562 4,653,281 13,959,844 6,979,922 3,489,961 10,469,884 5,234,942 2,617,471 7,852,414 3,926,207 11,778,622 5,889,311 17,667,934 8,833,967 26,501,902 13,250,951 39,752,854 19,876,427 59,629,282 29,814,641 89,443,924 44,721,962 22,360,981 67,082,944 33,541,472 16,770,736 8,385,368 4,192,684 2,096,342 1,048,171 3,144,514 1,572,257 4,716,772 2,358,386 1,179,193 3,537,580 1,768,790 884,395 2,653,186 1,326,593 3,979,780 1,989,890 994,945 2,984,836 1,492,418 746,209 2,238,628 1,119,314 559,657 1,678,972 839,486 419,743 1,259,230 629,615 1,888,846

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