λ
Integer Codex

1,984,743

34 × 107 × 229
Deficient Odd Composite

For 1,984,743, the 20 positive divisors have a total of 3,005,640. Removing 1,984,743 leaves 1,020,897, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 107 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,005,640
Proper Divisor Sum 1,020,897
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1984729 ← → #1984747

Radix Representation

Decimal 1984743
Binary 111100100100011100111 (21 bits)
Octal 0o7444347
Hexadecimal 0x1E48E7

Divisor Catalog (20)

1 3 9 27 81 107 229 321 687 963 2,061 2,889 6,183 8,667 18,549 24,503 73,509 220,527 661,581 1,984,743

Collatz Trajectory (197 steps to reach 1)

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

1,984,743 5,954,230 2,977,115 8,931,346 4,465,673 13,397,020 6,698,510 3,349,255 10,047,766 5,023,883 15,071,650 7,535,825 22,607,476 11,303,738 5,651,869 16,955,608 8,477,804 4,238,902 2,119,451 6,358,354 3,179,177 9,537,532 4,768,766 2,384,383 7,153,150 3,576,575 10,729,726 5,364,863 16,094,590 8,047,295 24,141,886 12,070,943 36,212,830 18,106,415 54,319,246 27,159,623 81,478,870 40,739,435 122,218,306 61,109,153 183,327,460 91,663,730 45,831,865 137,495,596 68,747,798 34,373,899 103,121,698 51,560,849 154,682,548 77,341,274 38,670,637 116,011,912 58,005,956 29,002,978 14,501,489 43,504,468 21,752,234 10,876,117 32,628,352 16,314,176

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