50,007,048

2³ × 3 × 7² × 13 × 3271

50,007,048 factors as 2^3 × 3 × 7^2 × 13 × 3271. Its 96 positive divisors give a proper-divisor sum of 106,656,312, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 13 × 3271

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 156,663,360

Proper Divisor Sum 106,656,312

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #50007029 ← → #50007073

Radix Representation

Decimal	50007048
Binary	10111110110000110000001000 (26 bits)
Octal	0o276606010
Hexadecimal	0x2FB0C08

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1,092 1,176 1,274 1,911 2,184 2,548 3,271 3,822 5,096 6,542 7,644 9,813 13,084 15,288 19,626 22,897 26,168 39,252 42,523 45,794 68,691 78,504

Collatz Trajectory (230 steps to reach 1)

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

50,007,048 25,003,524 12,501,762 6,250,881 18,752,644 9,376,322 4,688,161 14,064,484 7,032,242 3,516,121 10,548,364 5,274,182 2,637,091 7,911,274 3,955,637 11,866,912 5,933,456 2,966,728 1,483,364 741,682 370,841 1,112,524 556,262 278,131 834,394 417,197 1,251,592 625,796 312,898 156,449 469,348 234,674 117,337 352,012 176,006 88,003 264,010 132,005 396,016 198,008 99,004 49,502 24,751 74,254 37,127 111,382 55,691 167,074 83,537 250,612 125,306 62,653 187,960 93,980 46,990 23,495 70,486 35,243 105,730 52,865

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