λ
Prime Ledger

3,188,782

2 × 29 × 54979
Deficient Even Composite

3,188,782 has the prime decomposition 2 × 29 × 54979. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 54979
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,948,200
Proper Divisor Sum 1,759,418
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3188767 ← → #3188791

Radix Representation

Decimal 3188782
Binary 1100001010100000101110 (22 bits)
Octal 0o14124056
Hexadecimal 0x30A82E

Divisor Catalog (8)

1 2 29 58 54,979 109,958 1,594,391 3,188,782

Collatz Trajectory (226 steps to reach 1)

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

3,188,782 1,594,391 4,783,174 2,391,587 7,174,762 3,587,381 10,762,144 5,381,072 2,690,536 1,345,268 672,634 336,317 1,008,952 504,476 252,238 126,119 378,358 189,179 567,538 283,769 851,308 425,654 212,827 638,482 319,241 957,724 478,862 239,431 718,294 359,147 1,077,442 538,721 1,616,164 808,082 404,041 1,212,124 606,062 303,031 909,094 454,547 1,363,642 681,821 2,045,464 1,022,732 511,366 255,683 767,050 383,525 1,150,576 575,288 287,644 143,822 71,911 215,734 107,867 323,602 161,801 485,404 242,702 121,351

More profiles

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