λ
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80,955,735

3 × 5 × 7 × 89 × 8663
Deficient Odd Composite

80,955,735 factors as 3 × 5 × 7 × 89 × 8663. Its 32 positive divisors give a proper-divisor sum of 68,758,185, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 89 × 8663
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 149,713,920
Proper Divisor Sum 68,758,185
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #80955731 ← → #80955737

Radix Representation

Decimal 80955735
Binary 100110100110100100101010111 (27 bits)
Octal 0o464644527
Hexadecimal 0x4D34957

Divisor Catalog (32)

1 3 5 7 15 21 35 89 105 267 445 623 1,335 1,869 3,115 8,663 9,345 25,989 43,315 60,641 129,945 181,923 303,205 771,007 909,615 2,313,021 3,855,035 5,397,049 11,565,105 16,191,147 26,985,245 80,955,735

Collatz Trajectory (135 steps to reach 1)

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

80,955,735 242,867,206 121,433,603 364,300,810 182,150,405 546,451,216 273,225,608 136,612,804 68,306,402 34,153,201 102,459,604 51,229,802 25,614,901 76,844,704 38,422,352 19,211,176 9,605,588 4,802,794 2,401,397 7,204,192 3,602,096 1,801,048 900,524 450,262 225,131 675,394 337,697 1,013,092 506,546 253,273 759,820 379,910 189,955 569,866 284,933 854,800 427,400 213,700 106,850 53,425 160,276 80,138 40,069 120,208 60,104 30,052 15,026 7,513 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378

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