λ
Sigma Notebook

8,095,272

23 × 3 × 59 × 5717
Abundant Even Composite

8,095,272 is even and not a perfect square. Its factorization is 2^3 × 3 × 59 × 5717 and its 32 divisors sum to 20,584,800.

Prime Factor Structure

Factorization String 2^3 × 3 × 59 × 5717
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,584,800
Proper Divisor Sum 12,489,528
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8095271 ← → #8095289

Radix Representation

Decimal 8095272
Binary 11110111000011000101000 (23 bits)
Octal 0o36703050
Hexadecimal 0x7B8628

Divisor Catalog (32)

1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1,416 5,717 11,434 17,151 22,868 34,302 45,736 68,604 137,208 337,303 674,606 1,011,909 1,349,212 2,023,818 2,698,424 4,047,636 8,095,272

Collatz Trajectory (199 steps to reach 1)

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

8,095,272 4,047,636 2,023,818 1,011,909 3,035,728 1,517,864 758,932 379,466 189,733 569,200 284,600 142,300 71,150 35,575 106,726 53,363 160,090 80,045 240,136 120,068 60,034 30,017 90,052 45,026 22,513 67,540 33,770 16,885 50,656 25,328 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

More profiles

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