87,134,184

2³ × 3³ × 41 × 9839

87,134,184 factors as 2^3 × 3^3 × 41 × 9839. Its 64 positive divisors give a proper-divisor sum of 160,833,816, so this integer is abundant. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 41 × 9839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 247,968,000

Proper Divisor Sum 160,833,816

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #87134141 ← → #87134191

Radix Representation

Decimal	87134184
Binary	101001100011000111111101000 (27 bits)
Octal	0o514307750
Hexadecimal	0x5318FE8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1,107 1,476 2,214 2,952 4,428 8,856 9,839 19,678 29,517 39,356 59,034 78,712 88,551 118,068 177,102 236,136 265,653 354,204 403,399 531,306 708,408 806,798 1,062,612 1,210,197 1,613,596 2,125,224 2,420,394 3,227,192 3,630,591 4,840,788 7,261,182 9,681,576 10,891,773 14,522,364

Collatz Trajectory (298 steps to reach 1)

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

87,134,184 43,567,092 21,783,546 10,891,773 32,675,320 16,337,660 8,168,830 4,084,415 12,253,246 6,126,623 18,379,870 9,189,935 27,569,806 13,784,903 41,354,710 20,677,355 62,032,066 31,016,033 93,048,100 46,524,050 23,262,025 69,786,076 34,893,038 17,446,519 52,339,558 26,169,779 78,509,338 39,254,669 117,764,008 58,882,004 29,441,002 14,720,501 44,161,504 22,080,752 11,040,376 5,520,188 2,760,094 1,380,047 4,140,142 2,070,071 6,210,214 3,105,107 9,315,322 4,657,661 13,972,984 6,986,492 3,493,246 1,746,623 5,239,870 2,619,935 7,859,806 3,929,903 11,789,710 5,894,855 17,684,566 8,842,283 26,526,850 13,263,425 39,790,276 19,895,138

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