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Atlas › Integer Profiles › Node 58,208,704

58,208,704

26 × 19 × 47869
Abundant Even Composite

58,208,704 factors as 2^6 × 19 × 47869. Its 28 positive divisors give a proper-divisor sum of 63,381,096, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 47869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 121,589,800
Proper Divisor Sum 63,381,096
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #58208687 ← → #58208707

Radix Representation

Decimal 58208704
Binary 11011110000011000111000000 (26 bits)
Octal 0o336030700
Hexadecimal 0x37831C0

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 47,869 95,738 191,476 382,952 765,904 909,511 1,531,808 1,819,022 3,063,616 3,638,044 7,276,088 14,552,176 29,104,352 58,208,704

Collatz Trajectory (176 steps to reach 1)

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

58,208,704 29,104,352 14,552,176 7,276,088 3,638,044 1,819,022 909,511 2,728,534 1,364,267 4,092,802 2,046,401 6,139,204 3,069,602 1,534,801 4,604,404 2,302,202 1,151,101 3,453,304 1,726,652 863,326 431,663 1,294,990 647,495 1,942,486 971,243 2,913,730 1,456,865 4,370,596 2,185,298 1,092,649 3,277,948 1,638,974 819,487 2,458,462 1,229,231 3,687,694 1,843,847 5,531,542 2,765,771 8,297,314 4,148,657 12,445,972 6,222,986 3,111,493 9,334,480 4,667,240 2,333,620 1,166,810 583,405 1,750,216 875,108 437,554 218,777 656,332 328,166 164,083 492,250 246,125 738,376 369,188

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