λ
Prime Ledger

830,429

757 × 1097
Deficient Odd Composite

830,429 has the prime decomposition 757 × 1097. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 757 × 1097
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 832,284
Proper Divisor Sum 1,855
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #830419 ← → #830441

Radix Representation

Decimal 830429
Binary 11001010101111011101 (20 bits)
Octal 0o3125735
Hexadecimal 0xCABDD

Divisor Catalog (4)

1 757 1,097 830,429

Collatz Trajectory (175 steps to reach 1)

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

830,429 2,491,288 1,245,644 622,822 311,411 934,234 467,117 1,401,352 700,676 350,338 175,169 525,508 262,754 131,377 394,132 197,066 98,533 295,600 147,800 73,900 36,950 18,475 55,426 27,713 83,140 41,570 20,785 62,356 31,178 15,589 46,768 23,384 11,692 5,846 2,923 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881

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