50,003,928

2³ × 3² × 13 × 41 × 1303

50,003,928 factors as 2^3 × 3^2 × 13 × 41 × 1303. Its 96 positive divisors give a proper-divisor sum of 99,512,712, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 41 × 1303

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 149,516,640

Proper Divisor Sum 99,512,712

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #50003923 ← → #50003929

Radix Representation

Decimal	50003928
Binary	10111110101111111111011000 (26 bits)
Octal	0o276577730
Hexadecimal	0x2FAFFD8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1,066 1,303 1,476 1,599 2,132 2,606 2,952 3,198 3,909 4,264 4,797 5,212 6,396 7,818 9,594 10,424 11,727 12,792 15,636 16,939 19,188 23,454 31,272 33,878 38,376

Collatz Trajectory (106 steps to reach 1)

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

50,003,928 25,001,964 12,500,982 6,250,491 18,751,474 9,375,737 28,127,212 14,063,606 7,031,803 21,095,410 10,547,705 31,643,116 15,821,558 7,910,779 23,732,338 11,866,169 35,598,508 17,799,254 8,899,627 26,698,882 13,349,441 40,048,324 20,024,162 10,012,081 30,036,244 15,018,122 7,509,061 22,527,184 11,263,592 5,631,796 2,815,898 1,407,949 4,223,848 2,111,924 1,055,962 527,981 1,583,944 791,972 395,986 197,993 593,980 296,990 148,495 445,486 222,743 668,230 334,115 1,002,346 501,173 1,503,520 751,760 375,880 187,940 93,970 46,985 140,956 70,478 35,239 105,718 52,859

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