λ
Harmonic Matrix

3,018,514

2 × 43 × 35099
Deficient Even Composite

3,018,514 has digital root 4. The neighboring primes are 3018493 and 3018517; its proper-divisor sum differs from the starting integer by -1,403,828.

Prime Factor Structure

Factorization String 2 × 43 × 35099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,633,200
Proper Divisor Sum 1,614,686
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3018493 ← → #3018517

Radix Representation

Decimal 3018514
Binary 1011100000111100010010 (22 bits)
Octal 0o13407422
Hexadecimal 0x2E0F12

Divisor Catalog (8)

1 2 43 86 35,099 70,198 1,509,257 3,018,514

Collatz Trajectory (226 steps to reach 1)

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

3,018,514 1,509,257 4,527,772 2,263,886 1,131,943 3,395,830 1,697,915 5,093,746 2,546,873 7,640,620 3,820,310 1,910,155 5,730,466 2,865,233 8,595,700 4,297,850 2,148,925 6,446,776 3,223,388 1,611,694 805,847 2,417,542 1,208,771 3,626,314 1,813,157 5,439,472 2,719,736 1,359,868 679,934 339,967 1,019,902 509,951 1,529,854 764,927 2,294,782 1,147,391 3,442,174 1,721,087 5,163,262 2,581,631 7,744,894 3,872,447 11,617,342 5,808,671 17,426,014 8,713,007 26,139,022 13,069,511 39,208,534 19,604,267 58,812,802 29,406,401 88,219,204 44,109,602 22,054,801 66,164,404 33,082,202 16,541,101 49,623,304 24,811,652

More profiles

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