λ
Harmonic Matrix

7,938,625

53 × 41 × 1549
Deficient Odd Composite

7,938,625 has digital root 4. The neighboring primes are 7938607 and 7938641; its proper-divisor sum differs from the starting integer by -5,721,650.

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Prime Factor Structure

Factorization String 5^3 × 41 × 1549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,155,600
Proper Divisor Sum 2,216,975
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7938607 ← → #7938641

Radix Representation

Decimal 7938625
Binary 11110010010001001000001 (23 bits)
Octal 0o36221101
Hexadecimal 0x792241

Divisor Catalog (5 of 16)

1 5 25 41 125

Collatz Trajectory (142 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.

7,938,625 23,815,876 11,907,938 5,953,969 17,861,908

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