λ
Ratio Atlas

80,936,766

2 × 33 × 1498829
Abundant Even Composite

80,936,766 factors as 2 × 3^3 × 1498829. Its 16 positive divisors give a proper-divisor sum of 98,922,834, so this integer is abundant. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 1498829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 179,859,600
Proper Divisor Sum 98,922,834
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #80936761 ← → #80936771

Radix Representation

Decimal 80936766
Binary 100110100101111111100111110 (27 bits)
Octal 0o464577476
Hexadecimal 0x4D2FF3E

Divisor Catalog (16)

Collatz Trajectory (303 steps to reach 1)

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

80,936,766 40,468,383 121,405,150 60,702,575 182,107,726 91,053,863 273,161,590 136,580,795 409,742,386 204,871,193 614,613,580 307,306,790 153,653,395 460,960,186 230,480,093 691,440,280 345,720,140 172,860,070 86,430,035 259,290,106 129,645,053 388,935,160 194,467,580 97,233,790 48,616,895 145,850,686 72,925,343 218,776,030 109,388,015 328,164,046 164,082,023 492,246,070 246,123,035 738,369,106 369,184,553 1,107,553,660 553,776,830 276,888,415 830,665,246 415,332,623 1,245,997,870 622,998,935 1,868,996,806 934,498,403 2,803,495,210 1,401,747,605 4,205,242,816 2,102,621,408 1,051,310,704 525,655,352 262,827,676 131,413,838 65,706,919 197,120,758 98,560,379 295,681,138 147,840,569 443,521,708 221,760,854 110,880,427

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