50,540,272

2⁴ × 29 × 108923

50,540,272 factors as 2^4 × 29 × 108923. Its 20 positive divisors give a proper-divisor sum of 50,759,048, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 108923

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 101,299,320

Proper Divisor Sum 50,759,048

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #50540251 ← → #50540279

Radix Representation

Decimal	50540272
Binary	11000000110010111011110000 (26 bits)
Octal	0o300627360
Hexadecimal	0x3032EF0

Divisor Catalog (20)

Collatz Trajectory (155 steps to reach 1)

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

50,540,272 25,270,136 12,635,068 6,317,534 3,158,767 9,476,302 4,738,151 14,214,454 7,107,227 21,321,682 10,660,841 31,982,524 15,991,262 7,995,631 23,986,894 11,993,447 35,980,342 17,990,171 53,970,514 26,985,257 80,955,772 40,477,886 20,238,943 60,716,830 30,358,415 91,075,246 45,537,623 136,612,870 68,306,435 204,919,306 102,459,653 307,378,960 153,689,480 76,844,740 38,422,370 19,211,185 57,633,556 28,816,778 14,408,389 43,225,168 21,612,584 10,806,292 5,403,146 2,701,573 8,104,720 4,052,360 2,026,180 1,013,090 506,545 1,519,636 759,818 379,909 1,139,728 569,864 284,932 142,466 71,233 213,700 106,850 53,425

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