λ
Sigma Notebook

444,567

3 × 17 × 23 × 379
Deficient Odd Composite

444,567 is odd and not a perfect square. Its factorization is 3 × 17 × 23 × 379 and its 16 divisors sum to 656,640.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 656,640
Proper Divisor Sum 212,073
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #444557 ← → #444569

Radix Representation

Decimal 444567
Binary 1101100100010010111 (19 bits)
Octal 0o1544227
Hexadecimal 0x6C897

Divisor Catalog (16)

1 3 17 23 51 69 379 391 1,137 1,173 6,443 8,717 19,329 26,151 148,189 444,567

Collatz Trajectory (50 steps to reach 1)

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

444,567 1,333,702 666,851 2,000,554 1,000,277 3,000,832 1,500,416 750,208 375,104 187,552 93,776 46,888 23,444 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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