826,329

3 × 7 × 19² × 109

826,329 factors as 3 × 7 × 19^2 × 109. Its 24 positive divisors give a proper-divisor sum of 514,791, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3 × 7 × 19^2 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,341,120

Proper Divisor Sum 514,791

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #826313 ← → #826333

Radix Representation

Decimal	826329
Binary	11001001101111011001 (20 bits)
Octal	0o3115731
Hexadecimal	0xC9BD9

Divisor Catalog (24)

Collatz Trajectory (113 steps to reach 1)

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

826,329 2,478,988 1,239,494 619,747 1,859,242 929,621 2,788,864 1,394,432 697,216 348,608 174,304 87,152 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243

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