5,063,268

2² × 3 × 7² × 79 × 109

Starting at 5,063,268, the Collatz iteration reaches 1 after 113 steps. The first transition is 2531634; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 79 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 14,044,800

Proper Divisor Sum 8,981,532

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5063251 ← → #5063287

Radix Representation

Decimal	5063268
Binary	10011010100001001100100 (23 bits)
Octal	0o23241144
Hexadecimal	0x4D4264

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 109 147 158 196 218 237 294 316 327 436 474 553 588 654 763 948 1,106 1,308 1,526 1,659 2,212 2,289 3,052 3,318 3,871 4,578 5,341 6,636 7,742 8,611 9,156 10,682 11,613 15,484 16,023 17,222 21,364 23,226 25,833 32,046 34,444 46,452 51,666 60,277 64,092

Collatz Trajectory (113 steps to reach 1)

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

5,063,268 2,531,634 1,265,817 3,797,452 1,898,726 949,363 2,848,090 1,424,045 4,272,136 2,136,068 1,068,034 534,017 1,602,052 801,026 400,513 1,201,540 600,770 300,385 901,156 450,578 225,289 675,868 337,934 168,967 506,902 253,451 760,354 380,177 1,140,532 570,266 285,133 855,400 427,700 213,850 106,925 320,776 160,388 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698

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