50,008,581

3² × 7 × 793787

50,008,581 factors as 3^2 × 7 × 793787. Its 12 positive divisors give a proper-divisor sum of 32,545,371, so this integer is deficient. The Collatz stopping time is 349 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 793787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 82,553,952

Proper Divisor Sum 32,545,371

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #50008573 ← → #50008603

Radix Representation

Decimal	50008581
Binary	10111110110001001000000101 (26 bits)
Octal	0o276611005
Hexadecimal	0x2FB1205

Divisor Catalog (12)

1 3 7 9 21 63 793,787 2,381,361 5,556,509 7,144,083 16,669,527 50,008,581

Collatz Trajectory (349 steps to reach 1)

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

50,008,581 150,025,744 75,012,872 37,506,436 18,753,218 9,376,609 28,129,828 14,064,914 7,032,457 21,097,372 10,548,686 5,274,343 15,823,030 7,911,515 23,734,546 11,867,273 35,601,820 17,800,910 8,900,455 26,701,366 13,350,683 40,052,050 20,026,025 60,078,076 30,039,038 15,019,519 45,058,558 22,529,279 67,587,838 33,793,919 101,381,758 50,690,879 152,072,638 76,036,319 228,108,958 114,054,479 342,163,438 171,081,719 513,245,158 256,622,579 769,867,738 384,933,869 1,154,801,608 577,400,804 288,700,402 144,350,201 433,050,604 216,525,302 108,262,651 324,787,954 162,393,977 487,181,932 243,590,966 121,795,483 365,386,450 182,693,225 548,079,676 274,039,838 137,019,919 411,059,758

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