λ
Integer Codex

1,525,584

24 × 3 × 37 × 859
Abundant Even Composite

For 1,525,584, the 40 positive divisors have a total of 4,052,320. Removing 1,525,584 leaves 2,526,736, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 3 × 37 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,052,320
Proper Divisor Sum 2,526,736
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1525571 ← → #1525607

Radix Representation

Decimal 1525584
Binary 101110100011101010000 (21 bits)
Octal 0o5643520
Hexadecimal 0x174750

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (132 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.

1,525,584 762,792 381,396 190,698 95,349

More profiles

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