6,825,109

17 × 401477

6,825,109 factors as 17 × 401477. Its 4 positive divisors give a proper-divisor sum of 401,495, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 17 × 401477

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,226,604

Proper Divisor Sum 401,495

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6825101 ← → #6825127

Radix Representation

Decimal	6825109
Binary	11010000010010010010101 (23 bits)
Octal	0o32022225
Hexadecimal	0x682495

Divisor Catalog (4)

1 17 401,477 6,825,109

Collatz Trajectory (77 steps to reach 1)

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

6,825,109 20,475,328 10,237,664 5,118,832 2,559,416 1,279,708 639,854 319,927 959,782 479,891 1,439,674 719,837 2,159,512 1,079,756 539,878 269,939 809,818 404,909 1,214,728 607,364 303,682 151,841 455,524 227,762 113,881 341,644 170,822 85,411 256,234 128,117 384,352 192,176 96,088 48,044 24,022 12,011 36,034 18,017 54,052 27,026 13,513 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204

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