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Atlas › Integer Profiles › Node 58,893,142

58,893,142

2 × 7 × 11 × 29 × 13187
Deficient Even Composite

58,893,142 factors as 2 × 7 × 11 × 29 × 13187. Its 32 positive divisors give a proper-divisor sum of 55,051,178, so this integer is deficient. The Collatz stopping time is 406 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 29 × 13187
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,944,320
Proper Divisor Sum 55,051,178
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #58893119 ← → #58893143

Radix Representation

Decimal 58893142
Binary 11100000101010001101010110 (26 bits)
Octal 0o340521526
Hexadecimal 0x382A356

Divisor Catalog (32)

1 2 7 11 14 22 29 58 77 154 203 319 406 638 2,233 4,466 13,187 26,374 92,309 145,057 184,618 290,114 382,423 764,846 1,015,399 2,030,798 2,676,961 4,206,653 5,353,922 8,413,306 29,446,571 58,893,142

Collatz Trajectory (406 steps to reach 1)

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

58,893,142 29,446,571 88,339,714 44,169,857 132,509,572 66,254,786 33,127,393 99,382,180 49,691,090 24,845,545 74,536,636 37,268,318 18,634,159 55,902,478 27,951,239 83,853,718 41,926,859 125,780,578 62,890,289 188,670,868 94,335,434 47,167,717 141,503,152 70,751,576 35,375,788 17,687,894 8,843,947 26,531,842 13,265,921 39,797,764 19,898,882 9,949,441 29,848,324 14,924,162 7,462,081 22,386,244 11,193,122 5,596,561 16,789,684 8,394,842 4,197,421 12,592,264 6,296,132 3,148,066 1,574,033 4,722,100 2,361,050 1,180,525 3,541,576 1,770,788 885,394 442,697 1,328,092 664,046 332,023 996,070 498,035 1,494,106 747,053 2,241,160

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