80,988,930

2 × 3³ × 5 × 11² × 37 × 67

80,988,930 factors as 2 × 3^3 × 5 × 11^2 × 37 × 67. Its 192 positive divisors give a proper-divisor sum of 166,454,910, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11^2 × 37 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 247,443,840

Proper Divisor Sum 166,454,910

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #80988923 ← → #80988931

Radix Representation

Decimal	80988930
Binary	100110100111100101100000010 (27 bits)
Octal	0o464745402
Hexadecimal	0x4D3CB02

Divisor Catalog (60 of 192)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 37 45 54 55 66 67 74 90 99 110 111 121 134 135 165 185 198 201 222 242 270 297 330 333 335 363 370 402 407 495 555 594 603 605 666 670 726 737 814 990 999 1,005 1,089 1,110 1,206 1,210

Collatz Trajectory (254 steps to reach 1)

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

80,988,930 40,494,465 121,483,396 60,741,698 30,370,849 91,112,548 45,556,274 22,778,137 68,334,412 34,167,206 17,083,603 51,250,810 25,625,405 76,876,216 38,438,108 19,219,054 9,609,527 28,828,582 14,414,291 43,242,874 21,621,437 64,864,312 32,432,156 16,216,078 8,108,039 24,324,118 12,162,059 36,486,178 18,243,089 54,729,268 27,364,634 13,682,317 41,046,952 20,523,476 10,261,738 5,130,869 15,392,608 7,696,304 3,848,152 1,924,076 962,038 481,019 1,443,058 721,529 2,164,588 1,082,294 541,147 1,623,442 811,721 2,435,164 1,217,582 608,791 1,826,374 913,187 2,739,562 1,369,781 4,109,344 2,054,672 1,027,336 513,668

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