λ
Integer Codex

2,084,015

5 × 19 × 21937
Deficient Odd Composite

For 2,084,015, the 8 positive divisors have a total of 2,632,560. Removing 2,084,015 leaves 548,545, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 19 × 21937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,632,560
Proper Divisor Sum 548,545
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2084009 ← → #2084023

Radix Representation

Decimal 2084015
Binary 111111100110010101111 (21 bits)
Octal 0o7746257
Hexadecimal 0x1FCCAF

Divisor Catalog (8)

1 5 19 95 21,937 109,685 416,803 2,084,015

Collatz Trajectory (228 steps to reach 1)

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

2,084,015 6,252,046 3,126,023 9,378,070 4,689,035 14,067,106 7,033,553 21,100,660 10,550,330 5,275,165 15,825,496 7,912,748 3,956,374 1,978,187 5,934,562 2,967,281 8,901,844 4,450,922 2,225,461 6,676,384 3,338,192 1,669,096 834,548 417,274 208,637 625,912 312,956 156,478 78,239 234,718 117,359 352,078 176,039 528,118 264,059 792,178 396,089 1,188,268 594,134 297,067 891,202 445,601 1,336,804 668,402 334,201 1,002,604 501,302 250,651 751,954 375,977 1,127,932 563,966 281,983 845,950 422,975 1,268,926 634,463 1,903,390 951,695 2,855,086

More profiles

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