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Atlas › Integer Profiles › Node 44,958,320

44,958,320

24 × 5 × 11 × 47 × 1087
Abundant Even Composite

44,958,320 factors as 2^4 × 5 × 11 × 47 × 1087. Its 80 positive divisors give a proper-divisor sum of 71,605,648, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 47 × 1087
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 116,563,968
Proper Divisor Sum 71,605,648
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #44958317 ← → #44958341

Radix Representation

Decimal 44958320
Binary 10101011100000001001110000 (26 bits)
Octal 0o253401160
Hexadecimal 0x2AE0270

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1,034 1,087 1,880 2,068 2,174 2,585 3,760 4,136 4,348 5,170 5,435 8,272 8,696 10,340 10,870 11,957 17,392 20,680 21,740 23,914 41,360 43,480 47,828 51,089 59,785 86,960 95,656 102,178 119,570 191,312 204,356

Collatz Trajectory (160 steps to reach 1)

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

44,958,320 22,479,160 11,239,580 5,619,790 2,809,895 8,429,686 4,214,843 12,644,530 6,322,265 18,966,796 9,483,398 4,741,699 14,225,098 7,112,549 21,337,648 10,668,824 5,334,412 2,667,206 1,333,603 4,000,810 2,000,405 6,001,216 3,000,608 1,500,304 750,152 375,076 187,538 93,769 281,308 140,654 70,327 210,982 105,491 316,474 158,237 474,712 237,356 118,678 59,339 178,018 89,009 267,028 133,514 66,757 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924

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