297,180

2² × 3² × 5 × 13 × 127

297,180 has digital root 9. The neighboring primes are 297169 and 297191; its proper-divisor sum differs from the starting integer by 384,072.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 978,432

Proper Divisor Sum 681,252

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #297169 ← → #297191

Radix Representation

Decimal	297180
Binary	1001000100011011100 (19 bits)
Octal	0o1104334
Hexadecimal	0x488DC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 127 130 156 180 195 234 254 260 381 390 468 508 585 635 762 780 1,143 1,170 1,270 1,524 1,651 1,905 2,286 2,340 2,540 3,302 3,810 4,572 4,953 5,715 6,604 7,620 8,255 9,906 11,430 14,859

Collatz Trajectory (264 steps to reach 1)

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

297,180 148,590 74,295 222,886 111,443 334,330 167,165 501,496 250,748 125,374 62,687 188,062 94,031 282,094 141,047 423,142 211,571 634,714 317,357 952,072 476,036 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878

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