λ
Sigma Notebook

8,422,381

11 × 227 × 3373
Deficient Odd Composite

8,422,381 is odd and not a perfect square. Its factorization is 11 × 227 × 3373 and its 8 divisors sum to 9,231,264.

Prime Factor Structure

Factorization String 11 × 227 × 3373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,231,264
Proper Divisor Sum 808,883
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8422357 ← → #8422387

Radix Representation

Decimal 8422381
Binary 100000001000001111101101 (24 bits)
Octal 0o40101755
Hexadecimal 0x8083ED

Divisor Catalog (8)

1 11 227 2,497 3,373 37,103 765,671 8,422,381

Collatz Trajectory (199 steps to reach 1)

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

8,422,381 25,267,144 12,633,572 6,316,786 3,158,393 9,475,180 4,737,590 2,368,795 7,106,386 3,553,193 10,659,580 5,329,790 2,664,895 7,994,686 3,997,343 11,992,030 5,996,015 17,988,046 8,994,023 26,982,070 13,491,035 40,473,106 20,236,553 60,709,660 30,354,830 15,177,415 45,532,246 22,766,123 68,298,370 34,149,185 102,447,556 51,223,778 25,611,889 76,835,668 38,417,834 19,208,917 57,626,752 28,813,376 14,406,688 7,203,344 3,601,672 1,800,836 900,418 450,209 1,350,628 675,314 337,657 1,012,972 506,486 253,243 759,730 379,865 1,139,596 569,798 284,899 854,698 427,349 1,282,048 641,024 320,512

More profiles

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