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Atlas › Integer Profiles › Node 13,803,220

13,803,220

22 × 5 × 23 × 37 × 811
Abundant Even Composite

13,803,220 factors as 2^2 × 5 × 23 × 37 × 811. Its 48 positive divisors give a proper-divisor sum of 17,299,628, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 37 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,102,848
Proper Divisor Sum 17,299,628
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #13803173 ← → #13803221

Radix Representation

Decimal 13803220
Binary 110100101001111011010100 (24 bits)
Octal 0o64517324
Hexadecimal 0xD29ED4

Divisor Catalog (48)

1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 811 851 1,622 1,702 3,244 3,404 4,055 4,255 8,110 8,510 16,220 17,020 18,653 30,007 37,306 60,014 74,612 93,265 120,028 150,035 186,530 300,070 373,060 600,140 690,161 1,380,322 2,760,644 3,450,805 6,901,610 13,803,220

Collatz Trajectory (99 steps to reach 1)

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

13,803,220 6,901,610 3,450,805 10,352,416 5,176,208 2,588,104 1,294,052 647,026 323,513 970,540 485,270 242,635 727,906 363,953 1,091,860 545,930 272,965 818,896 409,448 204,724 102,362 51,181 153,544 76,772 38,386 19,193 57,580 28,790 14,395 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406

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