λ
Harmonic Matrix

350,291

29 × 47 × 257
Deficient Odd Composite

350,291 has digital root 2. The neighboring primes are 350281 and 350293; its proper-divisor sum differs from the starting integer by -329,062.

Prime Factor Structure

Factorization String 29 × 47 × 257
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 371,520
Proper Divisor Sum 21,229
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #350281 ← → #350293

Radix Representation

Decimal 350291
Binary 1010101100001010011 (19 bits)
Octal 0o1254123
Hexadecimal 0x55853

Divisor Catalog (8)

1 29 47 257 1,363 7,453 12,079 350,291

Collatz Trajectory (104 steps to reach 1)

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

350,291 1,050,874 525,437 1,576,312 788,156 394,078 197,039 591,118 295,559 886,678 443,339 1,330,018 665,009 1,995,028 997,514 498,757 1,496,272 748,136 374,068 187,034 93,517 280,552 140,276 70,138 35,069 105,208 52,604 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371

More profiles

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