λ
Sigma Notebook

8,190,767

13 × 19 × 33161
Deficient Odd Composite

8,190,767 is odd and not a perfect square. Its factorization is 13 × 19 × 33161 and its 8 divisors sum to 9,285,360.

Prime Factor Structure

Factorization String 13 × 19 × 33161
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,285,360
Proper Divisor Sum 1,094,593
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8190761 ← → #8190823

Radix Representation

Decimal 8190767
Binary 11111001111101100101111 (23 bits)
Octal 0o37175457
Hexadecimal 0x7CFB2F

Divisor Catalog (8)

1 13 19 247 33,161 431,093 630,059 8,190,767

Collatz Trajectory (168 steps to reach 1)

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

8,190,767 24,572,302 12,286,151 36,858,454 18,429,227 55,287,682 27,643,841 82,931,524 41,465,762 20,732,881 62,198,644 31,099,322 15,549,661 46,648,984 23,324,492 11,662,246 5,831,123 17,493,370 8,746,685 26,240,056 13,120,028 6,560,014 3,280,007 9,840,022 4,920,011 14,760,034 7,380,017 22,140,052 11,070,026 5,535,013 16,605,040 8,302,520 4,151,260 2,075,630 1,037,815 3,113,446 1,556,723 4,670,170 2,335,085 7,005,256 3,502,628 1,751,314 875,657 2,626,972 1,313,486 656,743 1,970,230 985,115 2,955,346 1,477,673 4,433,020 2,216,510 1,108,255 3,324,766 1,662,383 4,987,150 2,493,575 7,480,726 3,740,363 11,221,090

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