λ
Prime Ledger

642,278

2 × 7 × 13 × 3529
Deficient Even Composite

642,278 has the prime decomposition 2 × 7 × 13 × 3529. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,186,080
Proper Divisor Sum 543,802
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #642253 ← → #642281

Radix Representation

Decimal 642278
Binary 10011100110011100110 (20 bits)
Octal 0o2346346
Hexadecimal 0x9CCE6

Divisor Catalog (16)

1 2 7 13 14 26 91 182 3,529 7,058 24,703 45,877 49,406 91,754 321,139 642,278

Collatz Trajectory (123 steps to reach 1)

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

642,278 321,139 963,418 481,709 1,445,128 722,564 361,282 180,641 541,924 270,962 135,481 406,444 203,222 101,611 304,834 152,417 457,252 228,626 114,313 342,940 171,470 85,735 257,206 128,603 385,810 192,905 578,716 289,358 144,679 434,038 217,019 651,058 325,529 976,588 488,294 244,147 732,442 366,221 1,098,664 549,332 274,666 137,333 412,000 206,000 103,000 51,500 25,750 12,875 38,626 19,313 57,940 28,970 14,485 43,456 21,728 10,864 5,432 2,716 1,358 679

More profiles

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