λ
Prime Ledger

6,292,164

22 × 3 × 524347
Abundant Even Composite

6,292,164 has the prime decomposition 2^2 × 3 × 524347. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 524347
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,681,744
Proper Divisor Sum 8,389,580
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6292129 ← → #6292177

Radix Representation

Decimal 6292164
Binary 11000000000001011000100 (23 bits)
Octal 0o30001304
Hexadecimal 0x6002C4

Divisor Catalog (12)

1 2 3 4 6 12 524,347 1,048,694 1,573,041 2,097,388 3,146,082 6,292,164

Collatz Trajectory (165 steps to reach 1)

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

6,292,164 3,146,082 1,573,041 4,719,124 2,359,562 1,179,781 3,539,344 1,769,672 884,836 442,418 221,209 663,628 331,814 165,907 497,722 248,861 746,584 373,292 186,646 93,323 279,970 139,985 419,956 209,978 104,989 314,968 157,484 78,742 39,371 118,114 59,057 177,172 88,586 44,293 132,880 66,440 33,220 16,610 8,305 24,916 12,458 6,229 18,688 9,344 4,672 2,336 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188

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