20,208

2⁴ × 3 × 421

20,208 factors as 2^4 × 3 × 421. Its 20 positive divisors give a proper-divisor sum of 32,120, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 421

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 52,328

Proper Divisor Sum 32,120

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #20201 ← → #20219

Radix Representation

Decimal	20208
Binary	100111011110000 (15 bits)
Octal	0o47360
Hexadecimal	0x4EF0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 421 842 1,263 1,684 2,526 3,368 5,052 6,736 10,104 20,208

Collatz Trajectory (180 steps to reach 1)

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

20,208 10,104 5,052 2,526 1,263 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772

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