λ
Integer Codex

5,049,792

26 × 32 × 11 × 797
Abundant Even Composite

For 5,049,792, the 84 positive divisors have a total of 15,809,976. Removing 5,049,792 leaves 10,760,184, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 11 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 15,809,976
Proper Divisor Sum 10,760,184
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5049773 ← → #5049823

Radix Representation

Decimal 5049792
Binary 10011010000110111000000 (23 bits)
Octal 0o23206700
Hexadecimal 0x4D0DC0

Divisor Catalog (5 of 84)

1 2 3 4 6

Collatz Trajectory (131 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

5,049,792 2,524,896 1,262,448 631,224 315,612

More profiles

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