λ
Integer Codex

7,652,572

22 × 61 × 79 × 397
Deficient Even Composite

For 7,652,572, the 24 positive divisors have a total of 13,818,560. Removing 7,652,572 leaves 6,165,988, which gives the deficient classification.

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Prime Factor Structure

Factorization String 2^2 × 61 × 79 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,818,560
Proper Divisor Sum 6,165,988
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7652569 ← → #7652641

Radix Representation

Decimal 7652572
Binary 11101001100010011011100 (23 bits)
Octal 0o35142334
Hexadecimal 0x74C4DC

Divisor Catalog (5 of 24)

1 2 4 61 79

Collatz Trajectory (124 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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