λ
Integer Codex

2,183,990

2 × 5 × 17 × 29 × 443
Deficient Even Composite

For 2,183,990, the 32 positive divisors have a total of 4,315,680. Removing 2,183,990 leaves 2,131,690, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 29 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,315,680
Proper Divisor Sum 2,131,690
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2183969 ← → #2184001

Radix Representation

Decimal 2183990
Binary 1000010101001100110110 (22 bits)
Octal 0o10251466
Hexadecimal 0x215336

Divisor Catalog (32)

1 2 5 10 17 29 34 58 85 145 170 290 443 493 886 986 2,215 2,465 4,430 4,930 7,531 12,847 15,062 25,694 37,655 64,235 75,310 128,470 218,399 436,798 1,091,995 2,183,990

Collatz Trajectory (179 steps to reach 1)

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

2,183,990 1,091,995 3,275,986 1,637,993 4,913,980 2,456,990 1,228,495 3,685,486 1,842,743 5,528,230 2,764,115 8,292,346 4,146,173 12,438,520 6,219,260 3,109,630 1,554,815 4,664,446 2,332,223 6,996,670 3,498,335 10,495,006 5,247,503 15,742,510 7,871,255 23,613,766 11,806,883 35,420,650 17,710,325 53,130,976 26,565,488 13,282,744 6,641,372 3,320,686 1,660,343 4,981,030 2,490,515 7,471,546 3,735,773 11,207,320 5,603,660 2,801,830 1,400,915 4,202,746 2,101,373 6,304,120 3,152,060 1,576,030 788,015 2,364,046 1,182,023 3,546,070 1,773,035 5,319,106 2,659,553 7,978,660 3,989,330 1,994,665 5,983,996 2,991,998

More profiles

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