λ
Prime Ledger

6,057,888

25 × 3 × 63103
Abundant Even Composite

6,057,888 has the prime decomposition 2^5 × 3 × 63103. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 63103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,902,208
Proper Divisor Sum 9,844,320
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6057871 ← → #6057917

Radix Representation

Decimal 6057888
Binary 10111000110111110100000 (23 bits)
Octal 0o27067640
Hexadecimal 0x5C6FA0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 63,103 126,206 189,309 252,412 378,618 504,824 757,236 1,009,648 1,514,472 2,019,296 3,028,944 6,057,888

Collatz Trajectory (90 steps to reach 1)

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

6,057,888 3,028,944 1,514,472 757,236 378,618 189,309 567,928 283,964 141,982 70,991 212,974 106,487 319,462 159,731 479,194 239,597 718,792 359,396 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178

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