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6,138,470

2 × 5 × 13 × 23 × 2053
Abundant Even Composite

6,138,470 factors as 2 × 5 × 13 × 23 × 2053. Its 32 positive divisors give a proper-divisor sum of 6,284,122, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 23 × 2053
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,422,592
Proper Divisor Sum 6,284,122
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6138469 ← → #6138481

Radix Representation

Decimal 6138470
Binary 10111011010101001100110 (23 bits)
Octal 0o27325146
Hexadecimal 0x5DAA66

Divisor Catalog (32)

1 2 5 10 13 23 26 46 65 115 130 230 299 598 1,495 2,053 2,990 4,106 10,265 20,530 26,689 47,219 53,378 94,438 133,445 236,095 266,890 472,190 613,847 1,227,694 3,069,235 6,138,470

Collatz Trajectory (188 steps to reach 1)

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

6,138,470 3,069,235 9,207,706 4,603,853 13,811,560 6,905,780 3,452,890 1,726,445 5,179,336 2,589,668 1,294,834 647,417 1,942,252 971,126 485,563 1,456,690 728,345 2,185,036 1,092,518 546,259 1,638,778 819,389 2,458,168 1,229,084 614,542 307,271 921,814 460,907 1,382,722 691,361 2,074,084 1,037,042 518,521 1,555,564 777,782 388,891 1,166,674 583,337 1,750,012 875,006 437,503 1,312,510 656,255 1,968,766 984,383 2,953,150 1,476,575 4,429,726 2,214,863 6,644,590 3,322,295 9,966,886 4,983,443 14,950,330 7,475,165 22,425,496 11,212,748 5,606,374 2,803,187 8,409,562

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