832,208

2⁴ × 13 × 4001

832,208 has the prime decomposition 2^4 × 13 × 4001. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 4001

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,736,868

Proper Divisor Sum 904,660

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #832189 ← → #832211

Radix Representation

Decimal	832208
Binary	11001011001011010000 (20 bits)
Octal	0o3131320
Hexadecimal	0xCB2D0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 4,001 8,002 16,004 32,008 52,013 64,016 104,026 208,052 416,104 832,208

Collatz Trajectory (131 steps to reach 1)

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

832,208 416,104 208,052 104,026 52,013 156,040 78,020 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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