λ
Harmonic Matrix

8,521,126

2 × 1372 × 227
Deficient Even Composite

8,521,126 has digital root 7. The neighboring primes are 8521111 and 8521129; its proper-divisor sum differs from the starting integer by -4,109,864.

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Prime Factor Structure

Factorization String 2 × 137^2 × 227
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,932,388
Proper Divisor Sum 4,411,262
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8521111 ← → #8521129

Radix Representation

Decimal 8521126
Binary 100000100000010110100110 (24 bits)
Octal 0o40402646
Hexadecimal 0x8205A6

Divisor Catalog (5 of 12)

1 2 137 227 274

Collatz Trajectory (98 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.

8,521,126 4,260,563 12,781,690 6,390,845 19,172,536

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