λ
Harmonic Matrix

6,087,131

509 × 11959
Deficient Odd Composite

6,087,131 has digital root 8. The neighboring primes are 6087127 and 6087161; its proper-divisor sum differs from the starting integer by -6,074,662.

Prime Factor Structure

Factorization String 509 × 11959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,099,600
Proper Divisor Sum 12,469
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6087127 ← → #6087161

Radix Representation

Decimal 6087131
Binary 10111001110000111011011 (23 bits)
Octal 0o27160733
Hexadecimal 0x5CE1DB

Divisor Catalog (4)

1 509 11,959 6,087,131

Collatz Trajectory (108 steps to reach 1)

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

6,087,131 18,261,394 9,130,697 27,392,092 13,696,046 6,848,023 20,544,070 10,272,035 30,816,106 15,408,053 46,224,160 23,112,080 11,556,040 5,778,020 2,889,010 1,444,505 4,333,516 2,166,758 1,083,379 3,250,138 1,625,069 4,875,208 2,437,604 1,218,802 609,401 1,828,204 914,102 457,051 1,371,154 685,577 2,056,732 1,028,366 514,183 1,542,550 771,275 2,313,826 1,156,913 3,470,740 1,735,370 867,685 2,603,056 1,301,528 650,764 325,382 162,691 488,074 244,037 732,112 366,056 183,028 91,514 45,757 137,272 68,636 34,318 17,159 51,478 25,739 77,218 38,609

More profiles

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