λ
Harmonic Matrix

3,108,294

2 × 34 × 7 × 2741
Abundant Even Composite

3,108,294 has digital root 9. The neighboring primes are 3108293 and 3108317; its proper-divisor sum differs from the starting integer by 1,746,180.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 2741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,962,768
Proper Divisor Sum 4,854,474
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3108293 ← → #3108317

Radix Representation

Decimal 3108294
Binary 1011110110110111000110 (22 bits)
Octal 0o13666706
Hexadecimal 0x2F6DC6

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 2,741 5,482 8,223 16,446 19,187 24,669 38,374 49,338 57,561 74,007 115,122 148,014 172,683 222,021 345,366 444,042 518,049 1,036,098 1,554,147 3,108,294

Collatz Trajectory (195 steps to reach 1)

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

3,108,294 1,554,147 4,662,442 2,331,221 6,993,664 3,496,832 1,748,416 874,208 437,104 218,552 109,276 54,638 27,319 81,958 40,979 122,938 61,469 184,408 92,204 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292

More profiles

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