λ
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3,208,282

2 × 7 × 11 × 83 × 251
Deficient Even Composite

3,208,282 factors as 2 × 7 × 11 × 83 × 251. Its 32 positive divisors give a proper-divisor sum of 2,888,102, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 83 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,096,384
Proper Divisor Sum 2,888,102
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3208253 ← → #3208319

Radix Representation

Decimal 3208282
Binary 1100001111010001011010 (22 bits)
Octal 0o14172132
Hexadecimal 0x30F45A

Divisor Catalog (32)

1 2 7 11 14 22 77 83 154 166 251 502 581 913 1,162 1,757 1,826 2,761 3,514 5,522 6,391 12,782 19,327 20,833 38,654 41,666 145,831 229,163 291,662 458,326 1,604,141 3,208,282

Collatz Trajectory (120 steps to reach 1)

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

3,208,282 1,604,141 4,812,424 2,406,212 1,203,106 601,553 1,804,660 902,330 451,165 1,353,496 676,748 338,374 169,187 507,562 253,781 761,344 380,672 190,336 95,168 47,584 23,792 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397

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