λ
Harmonic Matrix

5,285,006

2 × 37 × 71419
Deficient Even Composite

5,285,006 has digital root 8. The neighboring primes are 5284999 and 5285053; its proper-divisor sum differs from the starting integer by -2,428,132.

Prime Factor Structure

Factorization String 2 × 37 × 71419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,141,880
Proper Divisor Sum 2,856,874
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5284999 ← → #5285053

Radix Representation

Decimal 5285006
Binary 10100001010010010001110 (23 bits)
Octal 0o24122216
Hexadecimal 0x50A48E

Divisor Catalog (8)

1 2 37 74 71,419 142,838 2,642,503 5,285,006

Collatz Trajectory (126 steps to reach 1)

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

5,285,006 2,642,503 7,927,510 3,963,755 11,891,266 5,945,633 17,836,900 8,918,450 4,459,225 13,377,676 6,688,838 3,344,419 10,033,258 5,016,629 15,049,888 7,524,944 3,762,472 1,881,236 940,618 470,309 1,410,928 705,464 352,732 176,366 88,183 264,550 132,275 396,826 198,413 595,240 297,620 148,810 74,405 223,216 111,608 55,804 27,902 13,951 41,854 20,927 62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191 357,574 178,787 536,362 268,181 804,544 402,272 201,136

More profiles

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