446,499

3³ × 23 × 719

446,499 factors as 3^3 × 23 × 719. Its 16 positive divisors give a proper-divisor sum of 244,701, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3^3 × 23 × 719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 691,200

Proper Divisor Sum 244,701

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #446477 ← → #446503

Radix Representation

Decimal	446499
Binary	1101101000000100011 (19 bits)
Octal	0o1550043
Hexadecimal	0x6D023

Divisor Catalog (16)

1 3 9 23 27 69 207 621 719 2,157 6,471 16,537 19,413 49,611 148,833 446,499

Collatz Trajectory (187 steps to reach 1)

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

446,499 1,339,498 669,749 2,009,248 1,004,624 502,312 251,156 125,578 62,789 188,368 94,184 47,092 23,546 11,773 35,320 17,660 8,830 4,415 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000

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