λ
Sigma Notebook

1,832,517

33 × 67 × 1013
Deficient Odd Composite

1,832,517 is odd and not a perfect square. Its factorization is 3^3 × 67 × 1013 and its 16 divisors sum to 2,758,080.

Prime Factor Structure

Factorization String 3^3 × 67 × 1013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,758,080
Proper Divisor Sum 925,563
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1832513 ← → #1832543

Radix Representation

Decimal 1832517
Binary 110111111011001000101 (21 bits)
Octal 0o6773105
Hexadecimal 0x1BF645

Divisor Catalog (16)

1 3 9 27 67 201 603 1,013 1,809 3,039 9,117 27,351 67,871 203,613 610,839 1,832,517

Collatz Trajectory (57 steps to reach 1)

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

1,832,517 5,497,552 2,748,776 1,374,388 687,194 343,597 1,030,792 515,396 257,698 128,849 386,548 193,274 96,637 289,912 144,956 72,478 36,239 108,718 54,359 163,078 81,539 244,618 122,309 366,928 183,464 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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