λ
Integer Codex

1,744,366

2 × 13 × 23 × 2917
Deficient Even Composite

For 1,744,366, the 16 positive divisors have a total of 2,941,344. Removing 1,744,366 leaves 1,196,978, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 2917
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,941,344
Proper Divisor Sum 1,196,978
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1744363 ← → #1744367

Radix Representation

Decimal 1744366
Binary 110101001110111101110 (21 bits)
Octal 0o6516756
Hexadecimal 0x1A9DEE

Divisor Catalog (16)

1 2 13 23 26 46 299 598 2,917 5,834 37,921 67,091 75,842 134,182 872,183 1,744,366

Collatz Trajectory (326 steps to reach 1)

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

1,744,366 872,183 2,616,550 1,308,275 3,924,826 1,962,413 5,887,240 2,943,620 1,471,810 735,905 2,207,716 1,103,858 551,929 1,655,788 827,894 413,947 1,241,842 620,921 1,862,764 931,382 465,691 1,397,074 698,537 2,095,612 1,047,806 523,903 1,571,710 785,855 2,357,566 1,178,783 3,536,350 1,768,175 5,304,526 2,652,263 7,956,790 3,978,395 11,935,186 5,967,593 17,902,780 8,951,390 4,475,695 13,427,086 6,713,543 20,140,630 10,070,315 30,210,946 15,105,473 45,316,420 22,658,210 11,329,105 33,987,316 16,993,658 8,496,829 25,490,488 12,745,244 6,372,622 3,186,311 9,558,934 4,779,467 14,338,402

More profiles

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