18,087,820

2² × 5 × 37 × 24443

18,087,820 factors as 2^2 × 5 × 37 × 24443. Its 24 positive divisors give a proper-divisor sum of 20,924,804, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 24443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 39,012,624

Proper Divisor Sum 20,924,804

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #18087757 ← → #18087827

Radix Representation

Decimal	18087820
Binary	1000100111111111110001100 (25 bits)
Octal	0o104777614
Hexadecimal	0x113FF8C

Divisor Catalog (24)

Collatz Trajectory (133 steps to reach 1)

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

18,087,820 9,043,910 4,521,955 13,565,866 6,782,933 20,348,800 10,174,400 5,087,200 2,543,600 1,271,800 635,900 317,950 158,975 476,926 238,463 715,390 357,695 1,073,086 536,543 1,609,630 804,815 2,414,446 1,207,223 3,621,670 1,810,835 5,432,506 2,716,253 8,148,760 4,074,380 2,037,190 1,018,595 3,055,786 1,527,893 4,583,680 2,291,840 1,145,920 572,960 286,480 143,240 71,620 35,810 17,905 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190

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