λ
Prime Ledger

780,849

32 × 53 × 1637
Deficient Odd Composite

780,849 has the prime decomposition 3^2 × 53 × 1637. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53 × 1637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,149,876
Proper Divisor Sum 369,027
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #780841 ← → #780851

Radix Representation

Decimal 780849
Binary 10111110101000110001 (20 bits)
Octal 0o2765061
Hexadecimal 0xBEA31

Divisor Catalog (12)

1 3 9 53 159 477 1,637 4,911 14,733 86,761 260,283 780,849

Collatz Trajectory (193 steps to reach 1)

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

780,849 2,342,548 1,171,274 585,637 1,756,912 878,456 439,228 219,614 109,807 329,422 164,711 494,134 247,067 741,202 370,601 1,111,804 555,902 277,951 833,854 416,927 1,250,782 625,391 1,876,174 938,087 2,814,262 1,407,131 4,221,394 2,110,697 6,332,092 3,166,046 1,583,023 4,749,070 2,374,535 7,123,606 3,561,803 10,685,410 5,342,705 16,028,116 8,014,058 4,007,029 12,021,088 6,010,544 3,005,272 1,502,636 751,318 375,659 1,126,978 563,489 1,690,468 845,234 422,617 1,267,852 633,926 316,963 950,890 475,445 1,426,336 713,168 356,584 178,292

More profiles

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