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Atlas › Integer Profiles › Node 55,466,848

55,466,848

25 × 37 × 79 × 593
Abundant Even Composite

55,466,848 factors as 2^5 × 37 × 79 × 593. Its 48 positive divisors give a proper-divisor sum of 58,296,032, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 79 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 113,762,880
Proper Divisor Sum 58,296,032
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #55466813 ← → #55466857

Radix Representation

Decimal 55466848
Binary 11010011100101101101100000 (26 bits)
Octal 0o323455540
Hexadecimal 0x34E5B60

Divisor Catalog (48)

1 2 4 8 16 32 37 74 79 148 158 296 316 592 593 632 1,184 1,186 1,264 2,372 2,528 2,923 4,744 5,846 9,488 11,692 18,976 21,941 23,384 43,882 46,768 46,847 87,764 93,536 93,694 175,528 187,388 351,056 374,776 702,112 749,552 1,499,104 1,733,339 3,466,678 6,933,356 13,866,712 27,733,424 55,466,848

Collatz Trajectory (212 steps to reach 1)

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

55,466,848 27,733,424 13,866,712 6,933,356 3,466,678 1,733,339 5,200,018 2,600,009 7,800,028 3,900,014 1,950,007 5,850,022 2,925,011 8,775,034 4,387,517 13,162,552 6,581,276 3,290,638 1,645,319 4,935,958 2,467,979 7,403,938 3,701,969 11,105,908 5,552,954 2,776,477 8,329,432 4,164,716 2,082,358 1,041,179 3,123,538 1,561,769 4,685,308 2,342,654 1,171,327 3,513,982 1,756,991 5,270,974 2,635,487 7,906,462 3,953,231 11,859,694 5,929,847 17,789,542 8,894,771 26,684,314 13,342,157 40,026,472 20,013,236 10,006,618 5,003,309 15,009,928 7,504,964 3,752,482 1,876,241 5,628,724 2,814,362 1,407,181 4,221,544 2,110,772

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