λ
Harmonic Matrix

2,640,081

3 × 880027
Deficient Odd Composite

2,640,081 has digital root 3. The neighboring primes are 2640067 and 2640137; its proper-divisor sum differs from the starting integer by -1,760,050.

Prime Factor Structure

Factorization String 3 × 880027
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,520,112
Proper Divisor Sum 880,031
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2640067 ← → #2640137

Radix Representation

Decimal 2640081
Binary 1010000100100011010001 (22 bits)
Octal 0o12044321
Hexadecimal 0x2848D1

Divisor Catalog (4)

1 3 880,027 2,640,081

Collatz Trajectory (187 steps to reach 1)

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

2,640,081 7,920,244 3,960,122 1,980,061 5,940,184 2,970,092 1,485,046 742,523 2,227,570 1,113,785 3,341,356 1,670,678 835,339 2,506,018 1,253,009 3,759,028 1,879,514 939,757 2,819,272 1,409,636 704,818 352,409 1,057,228 528,614 264,307 792,922 396,461 1,189,384 594,692 297,346 148,673 446,020 223,010 111,505 334,516 167,258 83,629 250,888 125,444 62,722 31,361 94,084 47,042 23,521 70,564 35,282 17,641 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480

More profiles

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