6,828,058

2 × 41 × 83269

6,828,058 factors as 2 × 41 × 83269. Its 8 positive divisors give a proper-divisor sum of 3,663,962, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 41 × 83269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,492,020

Proper Divisor Sum 3,663,962

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6828053 ← → #6828061

Radix Representation

Decimal	6828058
Binary	11010000011000000011010 (23 bits)
Octal	0o32030032
Hexadecimal	0x68301A

Divisor Catalog (8)

1 2 41 82 83,269 166,538 3,414,029 6,828,058

Collatz Trajectory (178 steps to reach 1)

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

6,828,058 3,414,029 10,242,088 5,121,044 2,560,522 1,280,261 3,840,784 1,920,392 960,196 480,098 240,049 720,148 360,074 180,037 540,112 270,056 135,028 67,514 33,757 101,272 50,636 25,318 12,659 37,978 18,989 56,968 28,484 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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