826,353

3² × 11 × 17 × 491

826,353 has the prime decomposition 3^2 × 11 × 17 × 491. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 17 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,381,536

Proper Divisor Sum 555,183

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #826351 ← → #826363

Radix Representation

Decimal	826353
Binary	11001001101111110001 (20 bits)
Octal	0o3115761
Hexadecimal	0xC9BF1

Divisor Catalog (24)

1 3 9 11 17 33 51 99 153 187 491 561 1,473 1,683 4,419 5,401 8,347 16,203 25,041 48,609 75,123 91,817 275,451 826,353

Collatz Trajectory (175 steps to reach 1)

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

826,353 2,479,060 1,239,530 619,765 1,859,296 929,648 464,824 232,412 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146

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