50,004,990

2 × 3² × 5 × 7² × 17 × 23 × 29

50,004,990 factors as 2 × 3^2 × 5 × 7^2 × 17 × 23 × 29. Its 288 positive divisors give a proper-divisor sum of 122,855,490, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7^2 × 17 × 23 × 29

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 288

Divisor Sum (σ) 172,860,480

Proper Divisor Sum 122,855,490

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #50004989 ← → #50004991

Radix Representation

Decimal	50004990
Binary	10111110110000001111111110 (26 bits)
Octal	0o276601776
Hexadecimal	0x2FB03FE

Divisor Catalog (60 of 288)

1 2 3 5 6 7 9 10 14 15 17 18 21 23 29 30 34 35 42 45 46 49 51 58 63 69 70 85 87 90 98 102 105 115 119 126 138 145 147 153 161 170 174 203 207 210 230 238 245 255 261 290 294 306 315 322 345 357 391 406

Collatz Trajectory (274 steps to reach 1)

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

50,004,990 25,002,495 75,007,486 37,503,743 112,511,230 56,255,615 168,766,846 84,383,423 253,150,270 126,575,135 379,725,406 189,862,703 569,588,110 284,794,055 854,382,166 427,191,083 1,281,573,250 640,786,625 1,922,359,876 961,179,938 480,589,969 1,441,769,908 720,884,954 360,442,477 1,081,327,432 540,663,716 270,331,858 135,165,929 405,497,788 202,748,894 101,374,447 304,123,342 152,061,671 456,185,014 228,092,507 684,277,522 342,138,761 1,026,416,284 513,208,142 256,604,071 769,812,214 384,906,107 1,154,718,322 577,359,161 1,732,077,484 866,038,742 433,019,371 1,299,058,114 649,529,057 1,948,587,172 974,293,586 487,146,793 1,461,440,380 730,720,190 365,360,095 1,096,080,286 548,040,143 1,644,120,430 822,060,215 2,466,180,646

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