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Atlas › Integer Profiles › Node 14,587,720

14,587,720

23 × 5 × 7 × 53 × 983
Abundant Even Composite

14,587,720 factors as 2^3 × 5 × 7 × 53 × 983. Its 64 positive divisors give a proper-divisor sum of 23,670,200, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 53 × 983
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 38,257,920
Proper Divisor Sum 23,670,200
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #14587697 ← → #14587721

Radix Representation

Decimal 14587720
Binary 110111101001011101001000 (24 bits)
Octal 0o67513510
Hexadecimal 0xDE9748

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 983 1,060 1,484 1,855 1,966 2,120 2,968 3,710 3,932 4,915 6,881 7,420 7,864 9,830 13,762 14,840 19,660 27,524 34,405 39,320 52,099 55,048 68,810 104,198 137,620 208,396 260,495 275,240 364,693 416,792 520,990 729,386 1,041,980 1,458,772 1,823,465 2,083,960

Collatz Trajectory (174 steps to reach 1)

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

14,587,720 7,293,860 3,646,930 1,823,465 5,470,396 2,735,198 1,367,599 4,102,798 2,051,399 6,154,198 3,077,099 9,231,298 4,615,649 13,846,948 6,923,474 3,461,737 10,385,212 5,192,606 2,596,303 7,788,910 3,894,455 11,683,366 5,841,683 17,525,050 8,762,525 26,287,576 13,143,788 6,571,894 3,285,947 9,857,842 4,928,921 14,786,764 7,393,382 3,696,691 11,090,074 5,545,037 16,635,112 8,317,556 4,158,778 2,079,389 6,238,168 3,119,084 1,559,542 779,771 2,339,314 1,169,657 3,508,972 1,754,486 877,243 2,631,730 1,315,865 3,947,596 1,973,798 986,899 2,960,698 1,480,349 4,441,048 2,220,524 1,110,262 555,131

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