λ
Sigma Notebook

8,304,805

5 × 192 × 43 × 107
Deficient Odd Composite

8,304,805 is odd and not a perfect square. Its factorization is 5 × 19^2 × 43 × 107 and its 24 divisors sum to 10,863,072.

Prime Factor Structure

Factorization String 5 × 19^2 × 43 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,863,072
Proper Divisor Sum 2,558,267
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8304797 ← → #8304809

Radix Representation

Decimal 8304805
Binary 11111101011100010100101 (23 bits)
Octal 0o37534245
Hexadecimal 0x7EB8A5

Divisor Catalog (24)

1 5 19 43 95 107 215 361 535 817 1,805 2,033 4,085 4,601 10,165 15,523 23,005 38,627 77,615 87,419 193,135 437,095 1,660,961 8,304,805

Collatz Trajectory (212 steps to reach 1)

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

8,304,805 24,914,416 12,457,208 6,228,604 3,114,302 1,557,151 4,671,454 2,335,727 7,007,182 3,503,591 10,510,774 5,255,387 15,766,162 7,883,081 23,649,244 11,824,622 5,912,311 17,736,934 8,868,467 26,605,402 13,302,701 39,908,104 19,954,052 9,977,026 4,988,513 14,965,540 7,482,770 3,741,385 11,224,156 5,612,078 2,806,039 8,418,118 4,209,059 12,627,178 6,313,589 18,940,768 9,470,384 4,735,192 2,367,596 1,183,798 591,899 1,775,698 887,849 2,663,548 1,331,774 665,887 1,997,662 998,831 2,996,494 1,498,247 4,494,742 2,247,371 6,742,114 3,371,057 10,113,172 5,056,586 2,528,293 7,584,880 3,792,440 1,896,220

More profiles

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