λ
Harmonic Matrix

4,688,598

2 × 3 × 781433
Abundant Even Composite

4,688,598 has digital root 3. The neighboring primes are 4688581 and 4688641; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 781433
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,377,208
Proper Divisor Sum 4,688,610
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #4688581 ← → #4688641

Radix Representation

Decimal 4688598
Binary 10001111000101011010110 (23 bits)
Octal 0o21705326
Hexadecimal 0x478AD6

Divisor Catalog (8)

1 2 3 6 781,433 1,562,866 2,344,299 4,688,598

Collatz Trajectory (105 steps to reach 1)

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

4,688,598 2,344,299 7,032,898 3,516,449 10,549,348 5,274,674 2,637,337 7,912,012 3,956,006 1,978,003 5,934,010 2,967,005 8,901,016 4,450,508 2,225,254 1,112,627 3,337,882 1,668,941 5,006,824 2,503,412 1,251,706 625,853 1,877,560 938,780 469,390 234,695 704,086 352,043 1,056,130 528,065 1,584,196 792,098 396,049 1,188,148 594,074 297,037 891,112 445,556 222,778 111,389 334,168 167,084 83,542 41,771 125,314 62,657 187,972 93,986 46,993 140,980 70,490 35,245 105,736 52,868 26,434 13,217 39,652 19,826 9,913 29,740

More profiles

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