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Atlas › Integer Profiles › Node 28,429,544

28,429,544

23 × 11 × 13 × 24851
Abundant Even Composite

28,429,544 factors as 2^3 × 11 × 13 × 24851. Its 32 positive divisors give a proper-divisor sum of 34,197,496, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 24851
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,627,040
Proper Divisor Sum 34,197,496
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #28429543 ← → #28429547

Radix Representation

Decimal 28429544
Binary 1101100011100110011101000 (25 bits)
Octal 0o154346350
Hexadecimal 0x1B1CCE8

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 24,851 49,702 99,404 198,808 273,361 323,063 546,722 646,126 1,093,444 1,292,252 2,186,888 2,584,504 3,553,693 7,107,386 14,214,772 28,429,544

Collatz Trajectory (149 steps to reach 1)

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

28,429,544 14,214,772 7,107,386 3,553,693 10,661,080 5,330,540 2,665,270 1,332,635 3,997,906 1,998,953 5,996,860 2,998,430 1,499,215 4,497,646 2,248,823 6,746,470 3,373,235 10,119,706 5,059,853 15,179,560 7,589,780 3,794,890 1,897,445 5,692,336 2,846,168 1,423,084 711,542 355,771 1,067,314 533,657 1,600,972 800,486 400,243 1,200,730 600,365 1,801,096 900,548 450,274 225,137 675,412 337,706 168,853 506,560 253,280 126,640 63,320 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058

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