λ
Harmonic Matrix

752,540

22 × 5 × 191 × 197
Abundant Even Composite

752,540 has digital root 5. The neighboring primes are 752527 and 752569; its proper-divisor sum differs from the starting integer by 91,592.

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Prime Factor Structure

Factorization String 2^2 × 5 × 191 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,596,672
Proper Divisor Sum 844,132
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #752527 ← → #752569

Radix Representation

Decimal 752540
Binary 10110111101110011100 (20 bits)
Octal 0o2675634
Hexadecimal 0xB7B9C

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (131 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.

752,540 376,270 188,135 564,406 282,203

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