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Atlas › Integer Profiles › Node 13,541,560

13,541,560

23 × 5 × 43 × 7873
Abundant Even Composite

13,541,560 factors as 2^3 × 5 × 43 × 7873. Its 32 positive divisors give a proper-divisor sum of 17,639,480, so this integer is abundant. The Collatz stopping time is 316 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 7873
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,181,040
Proper Divisor Sum 17,639,480
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13541497 ← → #13541569

Radix Representation

Decimal 13541560
Binary 110011101010000010111000 (24 bits)
Octal 0o63520270
Hexadecimal 0xCEA0B8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1,720 7,873 15,746 31,492 39,365 62,984 78,730 157,460 314,920 338,539 677,078 1,354,156 1,692,695 2,708,312 3,385,390 6,770,780 13,541,560

Collatz Trajectory (316 steps to reach 1)

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

13,541,560 6,770,780 3,385,390 1,692,695 5,078,086 2,539,043 7,617,130 3,808,565 11,425,696 5,712,848 2,856,424 1,428,212 714,106 357,053 1,071,160 535,580 267,790 133,895 401,686 200,843 602,530 301,265 903,796 451,898 225,949 677,848 338,924 169,462 84,731 254,194 127,097 381,292 190,646 95,323 285,970 142,985 428,956 214,478 107,239 321,718 160,859 482,578 241,289 723,868 361,934 180,967 542,902 271,451 814,354 407,177 1,221,532 610,766 305,383 916,150 458,075 1,374,226 687,113 2,061,340 1,030,670 515,335

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