λ
Sigma Notebook

1,842,759

32 × 204751
Deficient Odd Composite

1,842,759 is odd and not a perfect square. Its factorization is 3^2 × 204751 and its 6 divisors sum to 2,661,776.

Prime Factor Structure

Factorization String 3^2 × 204751
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,661,776
Proper Divisor Sum 819,017
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1842727 ← → #1842767

Radix Representation

Decimal 1842759
Binary 111000001111001000111 (21 bits)
Octal 0o7017107
Hexadecimal 0x1C1E47

Divisor Catalog (6)

1 3 9 204,751 614,253 1,842,759

Collatz Trajectory (83 steps to reach 1)

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

1,842,759 5,528,278 2,764,139 8,292,418 4,146,209 12,438,628 6,219,314 3,109,657 9,328,972 4,664,486 2,332,243 6,996,730 3,498,365 10,495,096 5,247,548 2,623,774 1,311,887 3,935,662 1,967,831 5,903,494 2,951,747 8,855,242 4,427,621 13,282,864 6,641,432 3,320,716 1,660,358 830,179 2,490,538 1,245,269 3,735,808 1,867,904 933,952 466,976 233,488 116,744 58,372 29,186 14,593 43,780 21,890 10,945 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325

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