105,821

29 × 41 × 89

105,821 factors as 29 × 41 × 89. Its 8 positive divisors give a proper-divisor sum of 7,579, so this integer is deficient. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 29 × 41 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 113,400

Proper Divisor Sum 7,579

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #105817 ← → #105829

Radix Representation

Decimal	105821
Binary	11001110101011101 (17 bits)
Octal	0o316535
Hexadecimal	0x19D5D

Divisor Catalog (8)

1 29 41 89 1,189 2,581 3,649 105,821

Collatz Trajectory (53 steps to reach 1)

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

105,821 317,464 158,732 79,366 39,683 119,050 59,525 178,576 89,288 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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