446,565

3 × 5 × 7 × 4253

446,565 factors as 3 × 5 × 7 × 4253. Its 16 positive divisors give a proper-divisor sum of 370,203, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 4253

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 816,768

Proper Divisor Sum 370,203

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #446561 ← → #446569

Radix Representation

Decimal	446565
Binary	1101101000001100101 (19 bits)
Octal	0o1550145
Hexadecimal	0x6D065

Divisor Catalog (16)

1 3 5 7 15 21 35 105 4,253 12,759 21,265 29,771 63,795 89,313 148,855 446,565

Collatz Trajectory (187 steps to reach 1)

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

446,565 1,339,696 669,848 334,924 167,462 83,731 251,194 125,597 376,792 188,396 94,198 47,099 141,298 70,649 211,948 105,974 52,987 158,962 79,481 238,444 119,222 59,611 178,834 89,417 268,252 134,126 67,063 201,190 100,595 301,786 150,893 452,680 226,340 113,170 56,585 169,756 84,878 42,439 127,318 63,659 190,978 95,489 286,468 143,234 71,617 214,852 107,426 53,713 161,140 80,570 40,285 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996

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