441,912

2³ × 3 × 18413

441,912 factors as 2^3 × 3 × 18413. Its 16 positive divisors give a proper-divisor sum of 662,928, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 18413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,104,840

Proper Divisor Sum 662,928

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #441907 ← → #441913

Radix Representation

Decimal	441912
Binary	1101011111000111000 (19 bits)
Octal	0o1537070
Hexadecimal	0x6BE38

Divisor Catalog (16)

1 2 3 4 6 8 12 24 18,413 36,826 55,239 73,652 110,478 147,304 220,956 441,912

Collatz Trajectory (125 steps to reach 1)

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

441,912 220,956 110,478 55,239 165,718 82,859 248,578 124,289 372,868 186,434 93,217 279,652 139,826 69,913 209,740 104,870 52,435 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924

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