λ
Prime Ledger

6,289,692

22 × 3 × 67 × 7823
Abundant Even Composite

6,289,692 has the prime decomposition 2^2 × 3 × 67 × 7823. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 7823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,896,896
Proper Divisor Sum 8,607,204
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6289663 ← → #6289697

Radix Representation

Decimal 6289692
Binary 10111111111100100011100 (23 bits)
Octal 0o27774434
Hexadecimal 0x5FF91C

Divisor Catalog (24)

1 2 3 4 6 12 67 134 201 268 402 804 7,823 15,646 23,469 31,292 46,938 93,876 524,141 1,048,282 1,572,423 2,096,564 3,144,846 6,289,692

Collatz Trajectory (77 steps to reach 1)

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

6,289,692 3,144,846 1,572,423 4,717,270 2,358,635 7,075,906 3,537,953 10,613,860 5,306,930 2,653,465 7,960,396 3,980,198 1,990,099 5,970,298 2,985,149 8,955,448 4,477,724 2,238,862 1,119,431 3,358,294 1,679,147 5,037,442 2,518,721 7,556,164 3,778,082 1,889,041 5,667,124 2,833,562 1,416,781 4,250,344 2,125,172 1,062,586 531,293 1,593,880 796,940 398,470 199,235 597,706 298,853 896,560 448,280 224,140 112,070 56,035 168,106 84,053 252,160 126,080 63,040 31,520 15,760 7,880 3,940 1,970 985 2,956 1,478 739 2,218 1,109

More profiles

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