λ
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Atlas › Integer Profiles › Node 13,502,920

13,502,920

23 × 5 × 19 × 109 × 163
Abundant Even Composite

13,502,920 factors as 2^3 × 5 × 19 × 109 × 163. Its 64 positive divisors give a proper-divisor sum of 18,969,080, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 109 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 32,472,000
Proper Divisor Sum 18,969,080
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #13502911 ← → #13502927

Radix Representation

Decimal 13502920
Binary 110011100000100111001000 (24 bits)
Octal 0o63404710
Hexadecimal 0xCE09C8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 38 40 76 95 109 152 163 190 218 326 380 436 545 652 760 815 872 1,090 1,304 1,630 2,071 2,180 3,097 3,260 4,142 4,360 6,194 6,520 8,284 10,355 12,388 15,485 16,568 17,767 20,710 24,776 30,970 35,534 41,420 61,940 71,068 82,840 88,835 123,880 142,136 177,670 337,573 355,340 675,146 710,680 1,350,292 1,687,865

Collatz Trajectory (241 steps to reach 1)

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

13,502,920 6,751,460 3,375,730 1,687,865 5,063,596 2,531,798 1,265,899 3,797,698 1,898,849 5,696,548 2,848,274 1,424,137 4,272,412 2,136,206 1,068,103 3,204,310 1,602,155 4,806,466 2,403,233 7,209,700 3,604,850 1,802,425 5,407,276 2,703,638 1,351,819 4,055,458 2,027,729 6,083,188 3,041,594 1,520,797 4,562,392 2,281,196 1,140,598 570,299 1,710,898 855,449 2,566,348 1,283,174 641,587 1,924,762 962,381 2,887,144 1,443,572 721,786 360,893 1,082,680 541,340 270,670 135,335 406,006 203,003 609,010 304,505 913,516 456,758 228,379 685,138 342,569 1,027,708 513,854

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