λ
Prime Ledger

6,109,578

2 × 32 × 131 × 2591
Abundant Even Composite

6,109,578 has the prime decomposition 2 × 3^2 × 131 × 2591. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 2591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,343,616
Proper Divisor Sum 7,234,038
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6109567 ← → #6109601

Radix Representation

Decimal 6109578
Binary 10111010011100110001010 (23 bits)
Octal 0o27234612
Hexadecimal 0x5D398A

Divisor Catalog (24)

1 2 3 6 9 18 131 262 393 786 1,179 2,358 2,591 5,182 7,773 15,546 23,319 46,638 339,421 678,842 1,018,263 2,036,526 3,054,789 6,109,578

Collatz Trajectory (108 steps to reach 1)

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

6,109,578 3,054,789 9,164,368 4,582,184 2,291,092 1,145,546 572,773 1,718,320 859,160 429,580 214,790 107,395 322,186 161,093 483,280 241,640 120,820 60,410 30,205 90,616 45,308 22,654 11,327 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079

More profiles

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