5,080,185

3³ × 5 × 11² × 311

Starting at 5,080,185, the Collatz iteration reaches 1 after 157 steps. The first transition is 15240556; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 11^2 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,959,040

Proper Divisor Sum 4,878,855

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5080177 ← → #5080193

Radix Representation

Decimal	5080185
Binary	10011011000010001111001 (23 bits)
Octal	0o23302171
Hexadecimal	0x4D8479

Divisor Catalog (48)

1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 311 363 495 605 933 1,089 1,485 1,555 1,815 2,799 3,267 3,421 4,665 5,445 8,397 10,263 13,995 16,335 17,105 30,789 37,631 41,985 51,315 92,367 112,893 153,945 188,155 338,679 461,835 564,465 1,016,037 1,693,395 5,080,185

Collatz Trajectory (157 steps to reach 1)

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

5,080,185 15,240,556 7,620,278 3,810,139 11,430,418 5,715,209 17,145,628 8,572,814 4,286,407 12,859,222 6,429,611 19,288,834 9,644,417 28,933,252 14,466,626 7,233,313 21,699,940 10,849,970 5,424,985 16,274,956 8,137,478 4,068,739 12,206,218 6,103,109 18,309,328 9,154,664 4,577,332 2,288,666 1,144,333 3,433,000 1,716,500 858,250 429,125 1,287,376 643,688 321,844 160,922 80,461 241,384 120,692 60,346 30,173 90,520 45,260 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372

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