λ
Harmonic Matrix

642,266

2 × 71 × 4523
Deficient Even Composite

642,266 has digital root 8. The neighboring primes are 642253 and 642281; its proper-divisor sum differs from the starting integer by -307,348.

Prime Factor Structure

Factorization String 2 × 71 × 4523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 977,184
Proper Divisor Sum 334,918
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #642253 ← → #642281

Radix Representation

Decimal 642266
Binary 10011100110011011010 (20 bits)
Octal 0o2346332
Hexadecimal 0x9CCDA

Divisor Catalog (8)

1 2 71 142 4,523 9,046 321,133 642,266

Collatz Trajectory (123 steps to reach 1)

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

642,266 321,133 963,400 481,700 240,850 120,425 361,276 180,638 90,319 270,958 135,479 406,438 203,219 609,658 304,829 914,488 457,244 228,622 114,311 342,934 171,467 514,402 257,201 771,604 385,802 192,901 578,704 289,352 144,676 72,338 36,169 108,508 54,254 27,127 81,382 40,691 122,074 61,037 183,112 91,556 45,778 22,889 68,668 34,334 17,167 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679

More profiles

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