13,620,784

2⁴ × 23 × 37013

13,620,784 factors as 2^4 × 23 × 37013. Its 20 positive divisors give a proper-divisor sum of 13,917,632, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 37013

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 27,538,416

Proper Divisor Sum 13,917,632

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #13620781 ← → #13620787

Radix Representation

Decimal	13620784
Binary	110011111101011000110000 (24 bits)
Octal	0o63753060
Hexadecimal	0xCFD630

Divisor Catalog (20)

Collatz Trajectory (179 steps to reach 1)

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

13,620,784 6,810,392 3,405,196 1,702,598 851,299 2,553,898 1,276,949 3,830,848 1,915,424 957,712 478,856 239,428 119,714 59,857 179,572 89,786 44,893 134,680 67,340 33,670 16,835 50,506 25,253 75,760 37,880 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404

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