λ
Harmonic Matrix

994,185

32 × 5 × 22093
Deficient Odd Composite

994,185 has digital root 9. The neighboring primes are 994183 and 994193; its proper-divisor sum differs from the starting integer by -265,038.

Prime Factor Structure

Factorization String 3^2 × 5 × 22093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,723,332
Proper Divisor Sum 729,147
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #994183 ← → #994193

Radix Representation

Decimal 994185
Binary 11110010101110001001 (20 bits)
Octal 0o3625611
Hexadecimal 0xF2B89

Divisor Catalog (12)

1 3 5 9 15 45 22,093 66,279 110,465 198,837 331,395 994,185

Collatz Trajectory (165 steps to reach 1)

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

994,185 2,982,556 1,491,278 745,639 2,236,918 1,118,459 3,355,378 1,677,689 5,033,068 2,516,534 1,258,267 3,774,802 1,887,401 5,662,204 2,831,102 1,415,551 4,246,654 2,123,327 6,369,982 3,184,991 9,554,974 4,777,487 14,332,462 7,166,231 21,498,694 10,749,347 32,248,042 16,124,021 48,372,064 24,186,032 12,093,016 6,046,508 3,023,254 1,511,627 4,534,882 2,267,441 6,802,324 3,401,162 1,700,581 5,101,744 2,550,872 1,275,436 637,718 318,859 956,578 478,289 1,434,868 717,434 358,717 1,076,152 538,076 269,038 134,519 403,558 201,779 605,338 302,669 908,008 454,004 227,002

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