λ
Sigma Notebook

8,220,983

31 × 265193
Deficient Odd Composite

8,220,983 is odd and not a perfect square. Its factorization is 31 × 265193 and its 4 divisors sum to 8,486,208.

Prime Factor Structure

Factorization String 31 × 265193
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,486,208
Proper Divisor Sum 265,225
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8220937 ← → #8221009

Radix Representation

Decimal 8220983
Binary 11111010111000100110111 (23 bits)
Octal 0o37270467
Hexadecimal 0x7D7137

Divisor Catalog (4)

1 31 265,193 8,220,983

Collatz Trajectory (111 steps to reach 1)

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

8,220,983 24,662,950 12,331,475 36,994,426 18,497,213 55,491,640 27,745,820 13,872,910 6,936,455 20,809,366 10,404,683 31,214,050 15,607,025 46,821,076 23,410,538 11,705,269 35,115,808 17,557,904 8,778,952 4,389,476 2,194,738 1,097,369 3,292,108 1,646,054 823,027 2,469,082 1,234,541 3,703,624 1,851,812 925,906 462,953 1,388,860 694,430 347,215 1,041,646 520,823 1,562,470 781,235 2,343,706 1,171,853 3,515,560 1,757,780 878,890 439,445 1,318,336 659,168 329,584 164,792 82,396 41,198 20,599 61,798 30,899 92,698 46,349 139,048 69,524 34,762 17,381 52,144

More profiles

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