λ
Prime Ledger

6,138,948

22 × 3 × 511579
Abundant Even Composite

6,138,948 has the prime decomposition 2^2 × 3 × 511579. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 511579
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,324,240
Proper Divisor Sum 8,185,292
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6138947 ← → #6138983

Radix Representation

Decimal 6138948
Binary 10111011010110001000100 (23 bits)
Octal 0o27326104
Hexadecimal 0x5DAC44

Divisor Catalog (12)

1 2 3 4 6 12 511,579 1,023,158 1,534,737 2,046,316 3,069,474 6,138,948

Collatz Trajectory (90 steps to reach 1)

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

6,138,948 3,069,474 1,534,737 4,604,212 2,302,106 1,151,053 3,453,160 1,726,580 863,290 431,645 1,294,936 647,468 323,734 161,867 485,602 242,801 728,404 364,202 182,101 546,304 273,152 136,576 68,288 34,144 17,072 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

More profiles

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