λ
Integer Codex

5,048,292

22 × 3 × 420691
Abundant Even Composite

For 5,048,292, the 12 positive divisors have a total of 11,779,376. Removing 5,048,292 leaves 6,731,084, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 420691
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,779,376
Proper Divisor Sum 6,731,084
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5048279 ← → #5048297

Radix Representation

Decimal 5048292
Binary 10011010000011111100100 (23 bits)
Octal 0o23203744
Hexadecimal 0x4D07E4

Divisor Catalog (12)

1 2 3 4 6 12 420,691 841,382 1,262,073 1,682,764 2,524,146 5,048,292

Collatz Trajectory (69 steps to reach 1)

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

5,048,292 2,524,146 1,262,073 3,786,220 1,893,110 946,555 2,839,666 1,419,833 4,259,500 2,129,750 1,064,875 3,194,626 1,597,313 4,791,940 2,395,970 1,197,985 3,593,956 1,796,978 898,489 2,695,468 1,347,734 673,867 2,021,602 1,010,801 3,032,404 1,516,202 758,101 2,274,304 1,137,152 568,576 284,288 142,144 71,072 35,536 17,768 8,884 4,442 2,221 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26

More profiles

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