8,259,263

17 × 47 × 10337

Starting at 8,259,263, the Collatz iteration reaches 1 after 230 steps. The first transition is 24777790; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 47 × 10337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,932,032

Proper Divisor Sum 672,769

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8259203 ← → #8259269

Radix Representation

Decimal	8259263
Binary	11111100000011010111111 (23 bits)
Octal	0o37403277
Hexadecimal	0x7E06BF

Divisor Catalog (8)

1 17 47 799 10,337 175,729 485,839 8,259,263

Collatz Trajectory (230 steps to reach 1)

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

8,259,263 24,777,790 12,388,895 37,166,686 18,583,343 55,750,030 27,875,015 83,625,046 41,812,523 125,437,570 62,718,785 188,156,356 94,078,178 47,039,089 141,117,268 70,558,634 35,279,317 105,837,952 52,918,976 26,459,488 13,229,744 6,614,872 3,307,436 1,653,718 826,859 2,480,578 1,240,289 3,720,868 1,860,434 930,217 2,790,652 1,395,326 697,663 2,092,990 1,046,495 3,139,486 1,569,743 4,709,230 2,354,615 7,063,846 3,531,923 10,595,770 5,297,885 15,893,656 7,946,828 3,973,414 1,986,707 5,960,122 2,980,061 8,940,184 4,470,092 2,235,046 1,117,523 3,352,570 1,676,285 5,028,856 2,514,428 1,257,214 628,607 1,885,822

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