λ
Integer Codex

2,578,752

26 × 32 × 112 × 37
Abundant Even Composite

For 2,578,752, the 126 positive divisors have a total of 8,344,154. Removing 2,578,752 leaves 5,765,402, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 11^2 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 126
Divisor Sum (σ) 8,344,154
Proper Divisor Sum 5,765,402
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2578733 ← → #2578757

Radix Representation

Decimal 2578752
Binary 1001110101100101000000 (22 bits)
Octal 0o11654500
Hexadecimal 0x275940

Divisor Catalog (5 of 126)

1 2 3 4 6

Collatz Trajectory (143 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.

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