81,237,150

2 × 3² × 5² × 23 × 47 × 167

81,237,150 factors as 2 × 3^2 × 5^2 × 23 × 47 × 167. Its 144 positive divisors give a proper-divisor sum of 152,747,874, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 23 × 47 × 167

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 233,985,024

Proper Divisor Sum 152,747,874

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #81237139 ← → #81237151

Radix Representation

Decimal	81237150
Binary	100110101111001010010011110 (27 bits)
Octal	0o465712236
Hexadecimal	0x4D7949E

Divisor Catalog (60 of 144)

1 2 3 5 6 9 10 15 18 23 25 30 45 46 47 50 69 75 90 94 115 138 141 150 167 207 225 230 235 282 334 345 414 423 450 470 501 575 690 705 835 846 1,002 1,035 1,081 1,150 1,175 1,410 1,503 1,670 1,725 2,070 2,115 2,162 2,350 2,505 3,006 3,243 3,450 3,525

Collatz Trajectory (179 steps to reach 1)

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

81,237,150 40,618,575 121,855,726 60,927,863 182,783,590 91,391,795 274,175,386 137,087,693 411,263,080 205,631,540 102,815,770 51,407,885 154,223,656 77,111,828 38,555,914 19,277,957 57,833,872 28,916,936 14,458,468 7,229,234 3,614,617 10,843,852 5,421,926 2,710,963 8,132,890 4,066,445 12,199,336 6,099,668 3,049,834 1,524,917 4,574,752 2,287,376 1,143,688 571,844 285,922 142,961 428,884 214,442 107,221 321,664 160,832 80,416 40,208 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398

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