11,789,740

2² × 5 × 43 × 13709

11,789,740 factors as 2^2 × 5 × 43 × 13709. Its 24 positive divisors give a proper-divisor sum of 13,546,340, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 13709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,336,080

Proper Divisor Sum 13,546,340

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #11789737 ← → #11789753

Radix Representation

Decimal	11789740
Binary	101100111110010110101100 (24 bits)
Octal	0o54762654
Hexadecimal	0xB3E5AC

Divisor Catalog (24)

Collatz Trajectory (122 steps to reach 1)

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

11,789,740 5,894,870 2,947,435 8,842,306 4,421,153 13,263,460 6,631,730 3,315,865 9,947,596 4,973,798 2,486,899 7,460,698 3,730,349 11,191,048 5,595,524 2,797,762 1,398,881 4,196,644 2,098,322 1,049,161 3,147,484 1,573,742 786,871 2,360,614 1,180,307 3,540,922 1,770,461 5,311,384 2,655,692 1,327,846 663,923 1,991,770 995,885 2,987,656 1,493,828 746,914 373,457 1,120,372 560,186 280,093 840,280 420,140 210,070 105,035 315,106 157,553 472,660 236,330 118,165 354,496 177,248 88,624 44,312 22,156 11,078 5,539 16,618 8,309 24,928 12,464

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