λ
Harmonic Matrix

3,087,191

827 × 3733
Deficient Odd Composite

3,087,191 has digital root 2. The neighboring primes are 3087181 and 3087199; its proper-divisor sum differs from the starting integer by -3,082,630.

Prime Factor Structure

Factorization String 827 × 3733
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,091,752
Proper Divisor Sum 4,561
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3087181 ← → #3087199

Radix Representation

Decimal 3087191
Binary 1011110001101101010111 (22 bits)
Octal 0o13615527
Hexadecimal 0x2F1B57

Divisor Catalog (4)

1 827 3,733 3,087,191

Collatz Trajectory (195 steps to reach 1)

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

3,087,191 9,261,574 4,630,787 13,892,362 6,946,181 20,838,544 10,419,272 5,209,636 2,604,818 1,302,409 3,907,228 1,953,614 976,807 2,930,422 1,465,211 4,395,634 2,197,817 6,593,452 3,296,726 1,648,363 4,945,090 2,472,545 7,417,636 3,708,818 1,854,409 5,563,228 2,781,614 1,390,807 4,172,422 2,086,211 6,258,634 3,129,317 9,387,952 4,693,976 2,346,988 1,173,494 586,747 1,760,242 880,121 2,640,364 1,320,182 660,091 1,980,274 990,137 2,970,412 1,485,206 742,603 2,227,810 1,113,905 3,341,716 1,670,858 835,429 2,506,288 1,253,144 626,572 313,286 156,643 469,930 234,965 704,896

More profiles

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