λ
Harmonic Matrix

6,849,187

1087 × 6301
Deficient Odd Composite

6,849,187 has digital root 7. The neighboring primes are 6849151 and 6849229; its proper-divisor sum differs from the starting integer by -6,841,798.

Prime Factor Structure

Factorization String 1087 × 6301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,856,576
Proper Divisor Sum 7,389
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6849151 ← → #6849229

Radix Representation

Decimal 6849187
Binary 11010001000001010100011 (23 bits)
Octal 0o32101243
Hexadecimal 0x6882A3

Divisor Catalog (4)

1 1,087 6,301 6,849,187

Collatz Trajectory (222 steps to reach 1)

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

6,849,187 20,547,562 10,273,781 30,821,344 15,410,672 7,705,336 3,852,668 1,926,334 963,167 2,889,502 1,444,751 4,334,254 2,167,127 6,501,382 3,250,691 9,752,074 4,876,037 14,628,112 7,314,056 3,657,028 1,828,514 914,257 2,742,772 1,371,386 685,693 2,057,080 1,028,540 514,270 257,135 771,406 385,703 1,157,110 578,555 1,735,666 867,833 2,603,500 1,301,750 650,875 1,952,626 976,313 2,928,940 1,464,470 732,235 2,196,706 1,098,353 3,295,060 1,647,530 823,765 2,471,296 1,235,648 617,824 308,912 154,456 77,228 38,614 19,307 57,922 28,961 86,884 43,442

More profiles

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