50,009,340

2² × 3 × 5 × 29 × 41 × 701

50,009,340 factors as 2^2 × 3 × 5 × 29 × 41 × 701. Its 96 positive divisors give a proper-divisor sum of 98,590,020, so this integer is abundant. The Collatz stopping time is 323 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 41 × 701

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 148,599,360

Proper Divisor Sum 98,590,020

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #50009287 ← → #50009341

Radix Representation

Decimal	50009340
Binary	10111110110001010011111100 (26 bits)
Octal	0o276612374
Hexadecimal	0x2FB14FC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 15 20 29 30 41 58 60 82 87 116 123 145 164 174 205 246 290 348 410 435 492 580 615 701 820 870 1,189 1,230 1,402 1,740 2,103 2,378 2,460 2,804 3,505 3,567 4,206 4,756 5,945 7,010 7,134 8,412 10,515 11,890 14,020 14,268 17,835 20,329 21,030 23,780 28,741 35,670

Collatz Trajectory (323 steps to reach 1)

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

50,009,340 25,004,670 12,502,335 37,507,006 18,753,503 56,260,510 28,130,255 84,390,766 42,195,383 126,586,150 63,293,075 189,879,226 94,939,613 284,818,840 142,409,420 71,204,710 35,602,355 106,807,066 53,403,533 160,210,600 80,105,300 40,052,650 20,026,325 60,078,976 30,039,488 15,019,744 7,509,872 3,754,936 1,877,468 938,734 469,367 1,408,102 704,051 2,112,154 1,056,077 3,168,232 1,584,116 792,058 396,029 1,188,088 594,044 297,022 148,511 445,534 222,767 668,302 334,151 1,002,454 501,227 1,503,682 751,841 2,255,524 1,127,762 563,881 1,691,644 845,822 422,911 1,268,734 634,367 1,903,102

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