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Atlas › Integer Profiles › Node 6,135,588

6,135,588

22 × 34 × 29 × 653
Abundant Even Composite

6,135,588 factors as 2^2 × 3^4 × 29 × 653. Its 60 positive divisors give a proper-divisor sum of 10,482,552, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 29 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 16,618,140
Proper Divisor Sum 10,482,552
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6135581 ← → #6135593

Radix Representation

Decimal 6135588
Binary 10111011001111100100100 (23 bits)
Octal 0o27317444
Hexadecimal 0x5D9F24

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 653 783 1,044 1,306 1,566 1,959 2,349 2,612 3,132 3,918 4,698 5,877 7,836 9,396 11,754 17,631 18,937 23,508 35,262 37,874 52,893 56,811 70,524 75,748 105,786 113,622 170,433 211,572 227,244 340,866 511,299 681,732 1,022,598 1,533,897 2,045,196 3,067,794 6,135,588

Collatz Trajectory (108 steps to reach 1)

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

6,135,588 3,067,794 1,533,897 4,601,692 2,300,846 1,150,423 3,451,270 1,725,635 5,176,906 2,588,453 7,765,360 3,882,680 1,941,340 970,670 485,335 1,456,006 728,003 2,184,010 1,092,005 3,276,016 1,638,008 819,004 409,502 204,751 614,254 307,127 921,382 460,691 1,382,074 691,037 2,073,112 1,036,556 518,278 259,139 777,418 388,709 1,166,128 583,064 291,532 145,766 72,883 218,650 109,325 327,976 163,988 81,994 40,997 122,992 61,496 30,748 15,374 7,687 23,062 11,531 34,594 17,297 51,892 25,946 12,973 38,920

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