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5,516,680

23 × 5 × 13 × 1032
Abundant Even Composite

5,516,680 factors as 2^3 × 5 × 13 × 103^2. Its 48 positive divisors give a proper-divisor sum of 7,981,700, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 103^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,498,380
Proper Divisor Sum 7,981,700
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5516659 ← → #5516689

Radix Representation

Decimal 5516680
Binary 10101000010110110001000 (23 bits)
Octal 0o25026610
Hexadecimal 0x542D88

Divisor Catalog (48)

1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 515 520 824 1,030 1,339 2,060 2,678 4,120 5,356 6,695 10,609 10,712 13,390 21,218 26,780 42,436 53,045 53,560 84,872 106,090 137,917 212,180 275,834 424,360 551,668 689,585 1,103,336 1,379,170 2,758,340 5,516,680

Collatz Trajectory (157 steps to reach 1)

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

5,516,680 2,758,340 1,379,170 689,585 2,068,756 1,034,378 517,189 1,551,568 775,784 387,892 193,946 96,973 290,920 145,460 72,730 36,365 109,096 54,548 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840

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