50,004,174

2 × 3 × 11 × 17 × 41 × 1087

50,004,174 factors as 2 × 3 × 11 × 17 × 41 × 1087. Its 64 positive divisors give a proper-divisor sum of 68,439,858, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 41 × 1087

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 118,444,032

Proper Divisor Sum 68,439,858

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #50004173 ← → #50004217

Radix Representation

Decimal	50004174
Binary	10111110110000000011001110 (26 bits)
Octal	0o276600316
Hexadecimal	0x2FB00CE

Divisor Catalog (60 of 64)

1 2 3 6 11 17 22 33 34 41 51 66 82 102 123 187 246 374 451 561 697 902 1,087 1,122 1,353 1,394 2,091 2,174 2,706 3,261 4,182 6,522 7,667 11,957 15,334 18,479 23,001 23,914 35,871 36,958 44,567 46,002 55,437 71,742 89,134 110,874 133,701 203,269 267,402 406,538 490,237 609,807 757,639 980,474 1,219,614 1,470,711 1,515,278 2,272,917 2,941,422 4,545,834

Collatz Trajectory (212 steps to reach 1)

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

50,004,174 25,002,087 75,006,262 37,503,131 112,509,394 56,254,697 168,764,092 84,382,046 42,191,023 126,573,070 63,286,535 189,859,606 94,929,803 284,789,410 142,394,705 427,184,116 213,592,058 106,796,029 320,388,088 160,194,044 80,097,022 40,048,511 120,145,534 60,072,767 180,218,302 90,109,151 270,327,454 135,163,727 405,491,182 202,745,591 608,236,774 304,118,387 912,355,162 456,177,581 1,368,532,744 684,266,372 342,133,186 171,066,593 513,199,780 256,599,890 128,299,945 384,899,836 192,449,918 96,224,959 288,674,878 144,337,439 433,012,318 216,506,159 649,518,478 324,759,239 974,277,718 487,138,859 1,461,416,578 730,708,289 2,192,124,868 1,096,062,434 548,031,217 1,644,093,652 822,046,826 411,023,413

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