441,180

2² × 3³ × 5 × 19 × 43

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 19 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,478,400

Proper Divisor Sum 1,037,220

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #441179 ← → #441187

Radix Representation

Decimal	441180
Binary	1101011101101011100 (19 bits)
Octal	0o1535534
Hexadecimal	0x6BB5C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 43 45 54 57 60 76 86 90 95 108 114 129 135 171 172 180 190 215 228 258 270 285 342 380 387 430 513 516 540 570 645 684 774 817 855 860 1,026 1,140 1,161 1,290 1,548 1,634 1,710

Collatz Trajectory (125 steps to reach 1)

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

441,180 220,590 110,295 330,886 165,443 496,330 248,165 744,496 372,248 186,124 93,062 46,531 139,594 69,797 209,392 104,696 52,348 26,174 13,087 39,262 19,631 58,894 29,447 88,342 44,171 132,514 66,257 198,772 99,386 49,693 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798

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