λ
Harmonic Matrix

317,098

2 × 331 × 479
Deficient Even Composite

317,098 has digital root 1. The neighboring primes are 317089 and 317123; its proper-divisor sum differs from the starting integer by -156,116.

Prime Factor Structure

Factorization String 2 × 331 × 479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 478,080
Proper Divisor Sum 160,982
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #317089 ← → #317123

Radix Representation

Decimal 317098
Binary 1001101011010101010 (19 bits)
Octal 0o1153252
Hexadecimal 0x4D6AA

Divisor Catalog (8)

1 2 331 479 662 958 158,549 317,098

Collatz Trajectory (140 steps to reach 1)

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

317,098 158,549 475,648 237,824 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 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

More profiles

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