λ
Harmonic Matrix

6,279,126

2 × 3 × 7 × 149503
Abundant Even Composite

6,279,126 has digital root 6. The neighboring primes are 6279107 and 6279127; its proper-divisor sum differs from the starting integer by 1,794,132.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 149503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,352,384
Proper Divisor Sum 8,073,258
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6279107 ← → #6279127

Radix Representation

Decimal 6279126
Binary 10111111100111111010110 (23 bits)
Octal 0o27747726
Hexadecimal 0x5FCFD6

Divisor Catalog (16)

1 2 3 6 7 14 21 42 149,503 299,006 448,509 897,018 1,046,521 2,093,042 3,139,563 6,279,126

Collatz Trajectory (134 steps to reach 1)

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

6,279,126 3,139,563 9,418,690 4,709,345 14,128,036 7,064,018 3,532,009 10,596,028 5,298,014 2,649,007 7,947,022 3,973,511 11,920,534 5,960,267 17,880,802 8,940,401 26,821,204 13,410,602 6,705,301 20,115,904 10,057,952 5,028,976 2,514,488 1,257,244 628,622 314,311 942,934 471,467 1,414,402 707,201 2,121,604 1,060,802 530,401 1,591,204 795,602 397,801 1,193,404 596,702 298,351 895,054 447,527 1,342,582 671,291 2,013,874 1,006,937 3,020,812 1,510,406 755,203 2,265,610 1,132,805 3,398,416 1,699,208 849,604 424,802 212,401 637,204 318,602 159,301 477,904 238,952

More profiles

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