21,365,568

2⁶ × 3² × 7² × 757

21,365,568 factors as 2^6 × 3^2 × 7^2 × 757. Its 126 positive divisors give a proper-divisor sum of 49,967,538, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7^2 × 757

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 71,333,106

Proper Divisor Sum 49,967,538

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #21365543 ← → #21365569

Radix Representation

Decimal	21365568
Binary	1010001100000001101000000 (25 bits)
Octal	0o121401500
Hexadecimal	0x1460340

Divisor Catalog (60 of 126)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 757 784 882 1,008 1,176 1,344 1,514 1,568 1,764 2,016 2,271 2,352 3,028 3,136

Collatz Trajectory (159 steps to reach 1)

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

21,365,568 10,682,784 5,341,392 2,670,696 1,335,348 667,674 333,837 1,001,512 500,756 250,378 125,189 375,568 187,784 93,892 46,946 23,473 70,420 35,210 17,605 52,816 26,408 13,204 6,602 3,301 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107

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