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Atlas › Integer Profiles › Node 14,187,640

14,187,640

23 × 5 × 412 × 211
Abundant Even Composite

14,187,640 factors as 2^3 × 5 × 41^2 × 211. Its 48 positive divisors give a proper-divisor sum of 18,687,200, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 41^2 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,874,840
Proper Divisor Sum 18,687,200
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #14187629 ← → #14187647

Radix Representation

Decimal 14187640
Binary 110110000111110001111000 (24 bits)
Octal 0o66076170
Hexadecimal 0xD87C78

Divisor Catalog (48)

1 2 4 5 8 10 20 40 41 82 164 205 211 328 410 422 820 844 1,055 1,640 1,681 1,688 2,110 3,362 4,220 6,724 8,405 8,440 8,651 13,448 16,810 17,302 33,620 34,604 43,255 67,240 69,208 86,510 173,020 346,040 354,691 709,382 1,418,764 1,773,455 2,837,528 3,546,910 7,093,820 14,187,640

Collatz Trajectory (99 steps to reach 1)

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

14,187,640 7,093,820 3,546,910 1,773,455 5,320,366 2,660,183 7,980,550 3,990,275 11,970,826 5,985,413 17,956,240 8,978,120 4,489,060 2,244,530 1,122,265 3,366,796 1,683,398 841,699 2,525,098 1,262,549 3,787,648 1,893,824 946,912 473,456 236,728 118,364 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418

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