λ
Integer Codex

7,672,600

23 × 52 × 132 × 227
Abundant Even Composite

For 7,672,600, the 72 positive divisors have a total of 19,401,660. Removing 7,672,600 leaves 11,729,060, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 5^2 × 13^2 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 19,401,660
Proper Divisor Sum 11,729,060
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7672597 ← → #7672631

Radix Representation

Decimal 7672600
Binary 11101010001001100011000 (23 bits)
Octal 0o35211430
Hexadecimal 0x751318

Divisor Catalog (5 of 72)

1 2 4 5 8

Collatz Trajectory (80 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.

7,672,600 3,836,300 1,918,150 959,075 2,877,226

More profiles

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