λ
Harmonic Matrix

859,493

859493
Deficient Odd Prime

859,493 has digital root 2. The neighboring primes are 859477 and 859513; its proper-divisor sum differs from the starting integer by -859,492.

Prime Factor Structure

Factorization String 859493
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 859,494
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #859477 ← → #859513

Radix Representation

Decimal 859493
Binary 11010001110101100101 (20 bits)
Octal 0o3216545
Hexadecimal 0xD1D65

Divisor Catalog (2)

Collatz Trajectory (144 steps to reach 1)

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

859,493 2,578,480 1,289,240 644,620 322,310 161,155 483,466 241,733 725,200 362,600 181,300 90,650 45,325 135,976 67,988 33,994 16,997 50,992 25,496 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

More profiles

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