λ
Harmonic Matrix

857,002

2 × 131 × 3271
Deficient Even Composite

857,002 has digital root 4. The neighboring primes are 856993 and 857009; its proper-divisor sum differs from the starting integer by -418,292.

Prime Factor Structure

Factorization String 2 × 131 × 3271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,295,712
Proper Divisor Sum 438,710
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #856993 ← → #857009

Radix Representation

Decimal 857002
Binary 11010001001110101010 (20 bits)
Octal 0o3211652
Hexadecimal 0xD13AA

Divisor Catalog (8)

1 2 131 262 3,271 6,542 428,501 857,002

Collatz Trajectory (51 steps to reach 1)

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

857,002 428,501 1,285,504 642,752 321,376 160,688 80,344 40,172 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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