18,676,840

2³ × 5 × 7² × 13 × 733

18,676,840 factors as 2^3 × 5 × 7^2 × 13 × 733. Its 96 positive divisors give a proper-divisor sum of 34,039,040, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 13 × 733

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 52,715,880

Proper Divisor Sum 34,039,040

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #18676793 ← → #18676859

Radix Representation

Decimal	18676840
Binary	1000111001111110001101000 (25 bits)
Octal	0o107176150
Hexadecimal	0x11CFC68

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 733 910 980 1,274 1,466 1,820 1,960 2,548 2,932 3,185 3,640 3,665 5,096 5,131 5,864 6,370 7,330 9,529 10,262 12,740 14,660 19,058 20,524 25,480

Collatz Trajectory (76 steps to reach 1)

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

18,676,840 9,338,420 4,669,210 2,334,605 7,003,816 3,501,908 1,750,954 875,477 2,626,432 1,313,216 656,608 328,304 164,152 82,076 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92

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