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Atlas › Integer Profiles › Node 51,500,740

51,500,740

22 × 5 × 89 × 28933
Abundant Even Composite

51,500,740 factors as 2^2 × 5 × 89 × 28933. Its 24 positive divisors give a proper-divisor sum of 57,869,780, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 89 × 28933
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 109,370,520
Proper Divisor Sum 57,869,780
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #51500731 ← → #51500741

Radix Representation

Decimal 51500740
Binary 11000100011101011011000100 (26 bits)
Octal 0o304353304
Hexadecimal 0x311D6C4

Divisor Catalog (24)

1 2 4 5 10 20 89 178 356 445 890 1,780 28,933 57,866 115,732 144,665 289,330 578,660 2,575,037 5,150,074 10,300,148 12,875,185 25,750,370 51,500,740

Collatz Trajectory (124 steps to reach 1)

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

51,500,740 25,750,370 12,875,185 38,625,556 19,312,778 9,656,389 28,969,168 14,484,584 7,242,292 3,621,146 1,810,573 5,431,720 2,715,860 1,357,930 678,965 2,036,896 1,018,448 509,224 254,612 127,306 63,653 190,960 95,480 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058 64,529 193,588 96,794 48,397 145,192 72,596 36,298 18,149 54,448

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