λ
Integer Codex

1,780,844

22 × 13 × 23 × 1489
Deficient Even Composite

For 1,780,844, the 24 positive divisors have a total of 3,504,480. Removing 1,780,844 leaves 1,723,636, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 1489
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,504,480
Proper Divisor Sum 1,723,636
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1780837 ← → #1780873

Radix Representation

Decimal 1780844
Binary 110110010110001101100 (21 bits)
Octal 0o6626154
Hexadecimal 0x1B2C6C

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 299 598 1,196 1,489 2,978 5,956 19,357 34,247 38,714 68,494 77,428 136,988 445,211 890,422 1,780,844

Collatz Trajectory (119 steps to reach 1)

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

1,780,844 890,422 445,211 1,335,634 667,817 2,003,452 1,001,726 500,863 1,502,590 751,295 2,253,886 1,126,943 3,380,830 1,690,415 5,071,246 2,535,623 7,606,870 3,803,435 11,410,306 5,705,153 17,115,460 8,557,730 4,278,865 12,836,596 6,418,298 3,209,149 9,627,448 4,813,724 2,406,862 1,203,431 3,610,294 1,805,147 5,415,442 2,707,721 8,123,164 4,061,582 2,030,791 6,092,374 3,046,187 9,138,562 4,569,281 13,707,844 6,853,922 3,426,961 10,280,884 5,140,442 2,570,221 7,710,664 3,855,332 1,927,666 963,833 2,891,500 1,445,750 722,875 2,168,626 1,084,313 3,252,940 1,626,470 813,235 2,439,706

More profiles

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