λ
Integer Codex

7,465,590

2 × 32 × 5 × 11 × 7541
Abundant Even Composite

For 7,465,590, the 48 positive divisors have a total of 21,177,936. Removing 7,465,590 leaves 13,712,346, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 7541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,177,936
Proper Divisor Sum 13,712,346
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7465583 ← → #7465603

Radix Representation

Decimal 7465590
Binary 11100011110101001110110 (23 bits)
Octal 0o34365166
Hexadecimal 0x71EA76

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (248 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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