λ
Math Directory

446,919

3 × 11 × 29 × 467
Deficient Odd Composite

446,919 factors as 3 × 11 × 29 × 467. Its 16 positive divisors give a proper-divisor sum of 227,001, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 3 × 11 × 29 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 673,920
Proper Divisor Sum 227,001
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #446911 ← → #446921

Radix Representation

Decimal 446919
Binary 1101101000111000111 (19 bits)
Octal 0o1550707
Hexadecimal 0x6D1C7

Divisor Catalog (16)

1 3 11 29 33 87 319 467 957 1,401 5,137 13,543 15,411 40,629 148,973 446,919

Collatz Trajectory (94 steps to reach 1)

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

446,919 1,340,758 670,379 2,011,138 1,005,569 3,016,708 1,508,354 754,177 2,262,532 1,131,266 565,633 1,696,900 848,450 424,225 1,272,676 636,338 318,169 954,508 477,254 238,627 715,882 357,941 1,073,824 536,912 268,456 134,228 67,114 33,557 100,672 50,336 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476

More profiles

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