13,808,024

2³ × 1726003

13,808,024 factors as 2^3 × 1726003. Its 8 positive divisors give a proper-divisor sum of 12,082,036, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^3 × 1726003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 25,890,060

Proper Divisor Sum 12,082,036

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13807999 ← → #13808071

Radix Representation

Decimal	13808024
Binary	110100101011000110011000 (24 bits)
Octal	0o64530630
Hexadecimal	0xD2B198

Divisor Catalog (8)

1 2 4 8 1,726,003 3,452,006 6,904,012 13,808,024

Collatz Trajectory (161 steps to reach 1)

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

13,808,024 6,904,012 3,452,006 1,726,003 5,178,010 2,589,005 7,767,016 3,883,508 1,941,754 970,877 2,912,632 1,456,316 728,158 364,079 1,092,238 546,119 1,638,358 819,179 2,457,538 1,228,769 3,686,308 1,843,154 921,577 2,764,732 1,382,366 691,183 2,073,550 1,036,775 3,110,326 1,555,163 4,665,490 2,332,745 6,998,236 3,499,118 1,749,559 5,248,678 2,624,339 7,873,018 3,936,509 11,809,528 5,904,764 2,952,382 1,476,191 4,428,574 2,214,287 6,642,862 3,321,431 9,964,294 4,982,147 14,946,442 7,473,221 22,419,664 11,209,832 5,604,916 2,802,458 1,401,229 4,203,688 2,101,844 1,050,922 525,461

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