5,060,475

3⁵ × 5² × 7² × 17

Starting at 5,060,475, the Collatz iteration reaches 1 after 131 steps. The first transition is 15181426; the starting value is odd with 108 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 5^2 × 7^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 11,577,384

Proper Divisor Sum 6,516,909

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5060467 ← → #5060477

Radix Representation

Decimal	5060475
Binary	10011010011011101111011 (23 bits)
Octal	0o23233573
Hexadecimal	0x4D377B

Divisor Catalog (60 of 108)

1 3 5 7 9 15 17 21 25 27 35 45 49 51 63 75 81 85 105 119 135 147 153 175 189 225 243 245 255 315 357 405 425 441 459 525 567 595 675 735 765 833 945 1,071 1,215 1,225 1,275 1,323 1,377 1,575 1,701 1,785 2,025 2,205 2,295 2,499 2,835 2,975 3,213 3,675

Collatz Trajectory (131 steps to reach 1)

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

5,060,475 15,181,426 7,590,713 22,772,140 11,386,070 5,693,035 17,079,106 8,539,553 25,618,660 12,809,330 6,404,665 19,213,996 9,606,998 4,803,499 14,410,498 7,205,249 21,615,748 10,807,874 5,403,937 16,211,812 8,105,906 4,052,953 12,158,860 6,079,430 3,039,715 9,119,146 4,559,573 13,678,720 6,839,360 3,419,680 1,709,840 854,920 427,460 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893

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