13,824,026

2 × 17² × 23917

13,824,026 factors as 2 × 17^2 × 23917. Its 12 positive divisors give a proper-divisor sum of 8,204,452, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 23917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,028,478

Proper Divisor Sum 8,204,452

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13824023 ← → #13824049

Radix Representation

Decimal	13824026
Binary	110100101111000000011010 (24 bits)
Octal	0o64570032
Hexadecimal	0xD2F01A

Divisor Catalog (12)

1 2 17 34 289 578 23,917 47,834 406,589 813,178 6,912,013 13,824,026

Collatz Trajectory (192 steps to reach 1)

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

13,824,026 6,912,013 20,736,040 10,368,020 5,184,010 2,592,005 7,776,016 3,888,008 1,944,004 972,002 486,001 1,458,004 729,002 364,501 1,093,504 546,752 273,376 136,688 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438

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