λ
Harmonic Matrix

7,525,964

22 × 29 × 64879
Deficient Even Composite

7,525,964 has digital root 2. The neighboring primes are 7525961 and 7525967; its proper-divisor sum differs from the starting integer by -1,427,128.

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Prime Factor Structure

Factorization String 2^2 × 29 × 64879
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,624,800
Proper Divisor Sum 6,098,836
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7525961 ← → #7525967

Radix Representation

Decimal 7525964
Binary 11100101101011001001100 (23 bits)
Octal 0o34553114
Hexadecimal 0x72D64C

Divisor Catalog (5 of 12)

1 2 4 29 58

Collatz Trajectory (204 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.

7,525,964 3,762,982 1,881,491 5,644,474 2,822,237

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