λ
Harmonic Matrix

3,018,354

2 × 3 × 587 × 857
Abundant Even Composite

3,018,354 has digital root 6. The neighboring primes are 3018347 and 3018413; its proper-divisor sum differs from the starting integer by 17,340.

Prime Factor Structure

Factorization String 2 × 3 × 587 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,054,048
Proper Divisor Sum 3,035,694
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3018347 ← → #3018413

Radix Representation

Decimal 3018354
Binary 1011100000111001110010 (22 bits)
Octal 0o13407162
Hexadecimal 0x2E0E72

Divisor Catalog (16)

1 2 3 6 587 857 1,174 1,714 1,761 2,571 3,522 5,142 503,059 1,006,118 1,509,177 3,018,354

Collatz Trajectory (182 steps to reach 1)

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

3,018,354 1,509,177 4,527,532 2,263,766 1,131,883 3,395,650 1,697,825 5,093,476 2,546,738 1,273,369 3,820,108 1,910,054 955,027 2,865,082 1,432,541 4,297,624 2,148,812 1,074,406 537,203 1,611,610 805,805 2,417,416 1,208,708 604,354 302,177 906,532 453,266 226,633 679,900 339,950 169,975 509,926 254,963 764,890 382,445 1,147,336 573,668 286,834 143,417 430,252 215,126 107,563 322,690 161,345 484,036 242,018 121,009 363,028 181,514 90,757 272,272 136,136 68,068 34,034 17,017 51,052 25,526 12,763 38,290 19,145

More profiles

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