λ
Sigma Notebook

8,292,715

5 × 197 × 8419
Deficient Odd Composite

8,292,715 is odd and not a perfect square. Its factorization is 5 × 197 × 8419 and its 8 divisors sum to 10,002,960.

Prime Factor Structure

Factorization String 5 × 197 × 8419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,002,960
Proper Divisor Sum 1,710,245
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8292707 ← → #8292737

Radix Representation

Decimal 8292715
Binary 11111101000100101101011 (23 bits)
Octal 0o37504553
Hexadecimal 0x7E896B

Divisor Catalog (8)

1 5 197 985 8,419 42,095 1,658,543 8,292,715

Collatz Trajectory (124 steps to reach 1)

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

8,292,715 24,878,146 12,439,073 37,317,220 18,658,610 9,329,305 27,987,916 13,993,958 6,996,979 20,990,938 10,495,469 31,486,408 15,743,204 7,871,602 3,935,801 11,807,404 5,903,702 2,951,851 8,855,554 4,427,777 13,283,332 6,641,666 3,320,833 9,962,500 4,981,250 2,490,625 7,471,876 3,735,938 1,867,969 5,603,908 2,801,954 1,400,977 4,202,932 2,101,466 1,050,733 3,152,200 1,576,100 788,050 394,025 1,182,076 591,038 295,519 886,558 443,279 1,329,838 664,919 1,994,758 997,379 2,992,138 1,496,069 4,488,208 2,244,104 1,122,052 561,026 280,513 841,540 420,770 210,385 631,156 315,578

More profiles

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