131,405

5 × 41 × 641

131,405 factors as 5 × 41 × 641. Its 8 positive divisors give a proper-divisor sum of 30,379, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 5 × 41 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 161,784

Proper Divisor Sum 30,379

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #131381 ← → #131413

Radix Representation

Decimal	131405
Binary	100000000101001101 (18 bits)
Octal	0o400515
Hexadecimal	0x2014D

Divisor Catalog (8)

1 5 41 205 641 3,205 26,281 131,405

Collatz Trajectory (100 steps to reach 1)

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

131,405 394,216 197,108 98,554 49,277 147,832 73,916 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836

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