λ
Harmonic Matrix

8,582,696

23 × 1072837
Deficient Even Composite

8,582,696 has digital root 8. The neighboring primes are 8582687 and 8582711; its proper-divisor sum differs from the starting integer by -1,072,822.

Prime Factor Structure

Factorization String 2^3 × 1072837
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,092,570
Proper Divisor Sum 7,509,874
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8582687 ← → #8582711

Radix Representation

Decimal 8582696
Binary 100000101111011000101000 (24 bits)
Octal 0o40573050
Hexadecimal 0x82F628

Divisor Catalog (8)

1 2 4 8 1,072,837 2,145,674 4,291,348 8,582,696

Collatz Trajectory (137 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,582,696 4,291,348 2,145,674 1,072,837 3,218,512 1,609,256 804,628 402,314 201,157 603,472 301,736 150,868 75,434 37,717 113,152 56,576 28,288 14,144 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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