λ
Prime Ledger

1,931,379

3 × 232 × 1217
Deficient Odd Composite

1,931,379 has the prime decomposition 3 × 23^2 × 1217. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 23^2 × 1217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,694,216
Proper Divisor Sum 762,837
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1931357 ← → #1931381

Radix Representation

Decimal 1931379
Binary 111010111100001110011 (21 bits)
Octal 0o7274163
Hexadecimal 0x1D7873

Divisor Catalog (12)

1 3 23 69 529 1,217 1,587 3,651 27,991 83,973 643,793 1,931,379

Collatz Trajectory (122 steps to reach 1)

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

1,931,379 5,794,138 2,897,069 8,691,208 4,345,604 2,172,802 1,086,401 3,259,204 1,629,602 814,801 2,444,404 1,222,202 611,101 1,833,304 916,652 458,326 229,163 687,490 343,745 1,031,236 515,618 257,809 773,428 386,714 193,357 580,072 290,036 145,018 72,509 217,528 108,764 54,382 27,191 81,574 40,787 122,362 61,181 183,544 91,772 45,886 22,943 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504

More profiles

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