50,262,394

2 × 7 × 13 × 29 × 89 × 107

50,262,394 factors as 2 × 7 × 13 × 29 × 89 × 107. Its 64 positive divisors give a proper-divisor sum of 47,715,206, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 29 × 89 × 107

Distinct Prime Factors 6

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 97,977,600

Proper Divisor Sum 47,715,206

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #50262379 ← → #50262397

Radix Representation

Decimal	50262394
Binary	10111111101111000101111010 (26 bits)
Octal	0o277570572
Hexadecimal	0x2FEF17A

Divisor Catalog (60 of 64)

1 2 7 13 14 26 29 58 89 91 107 178 182 203 214 377 406 623 749 754 1,157 1,246 1,391 1,498 2,314 2,581 2,639 2,782 3,103 5,162 5,278 6,206 8,099 9,523 9,737 16,198 18,067 19,046 19,474 21,721 33,553 36,134 40,339 43,442 66,661 67,106 80,678 123,799 133,322 234,871 247,598 276,167 282,373 469,742 552,334 564,746 866,593 1,733,186 1,933,169 3,590,171

Collatz Trajectory (243 steps to reach 1)

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

50,262,394 25,131,197 75,393,592 37,696,796 18,848,398 9,424,199 28,272,598 14,136,299 42,408,898 21,204,449 63,613,348 31,806,674 15,903,337 47,710,012 23,855,006 11,927,503 35,782,510 17,891,255 53,673,766 26,836,883 80,510,650 40,255,325 120,765,976 60,382,988 30,191,494 15,095,747 45,287,242 22,643,621 67,930,864 33,965,432 16,982,716 8,491,358 4,245,679 12,737,038 6,368,519 19,105,558 9,552,779 28,658,338 14,329,169 42,987,508 21,493,754 10,746,877 32,240,632 16,120,316 8,060,158 4,030,079 12,090,238 6,045,119 18,135,358 9,067,679 27,203,038 13,601,519 40,804,558 20,402,279 61,206,838 30,603,419 91,810,258 45,905,129 137,715,388 68,857,694

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