13,793,650

2 × 5² × 13 × 21221

13,793,650 factors as 2 × 5^2 × 13 × 21221. Its 24 positive divisors give a proper-divisor sum of 13,837,394, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 21221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 27,631,044

Proper Divisor Sum 13,837,394

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13793641 ← → #13793651

Radix Representation

Decimal	13793650
Binary	110100100111100101110010 (24 bits)
Octal	0o64474562
Hexadecimal	0xD27972

Divisor Catalog (24)

Collatz Trajectory (223 steps to reach 1)

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

13,793,650 6,896,825 20,690,476 10,345,238 5,172,619 15,517,858 7,758,929 23,276,788 11,638,394 5,819,197 17,457,592 8,728,796 4,364,398 2,182,199 6,546,598 3,273,299 9,819,898 4,909,949 14,729,848 7,364,924 3,682,462 1,841,231 5,523,694 2,761,847 8,285,542 4,142,771 12,428,314 6,214,157 18,642,472 9,321,236 4,660,618 2,330,309 6,990,928 3,495,464 1,747,732 873,866 436,933 1,310,800 655,400 327,700 163,850 81,925 245,776 122,888 61,444 30,722 15,361 46,084 23,042 11,521 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584

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