λ
Sigma Notebook

4,271,273

31 × 211 × 653
Deficient Odd Composite

4,271,273 is odd and not a perfect square. Its factorization is 31 × 211 × 653 and its 8 divisors sum to 4,436,736.

Prime Factor Structure

Factorization String 31 × 211 × 653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,436,736
Proper Divisor Sum 165,463
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4271269 ← → #4271279

Radix Representation

Decimal 4271273
Binary 10000010010110010101001 (23 bits)
Octal 0o20226251
Hexadecimal 0x412CA9

Divisor Catalog (8)

1 31 211 653 6,541 20,243 137,783 4,271,273

Collatz Trajectory (242 steps to reach 1)

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

4,271,273 12,813,820 6,406,910 3,203,455 9,610,366 4,805,183 14,415,550 7,207,775 21,623,326 10,811,663 32,434,990 16,217,495 48,652,486 24,326,243 72,978,730 36,489,365 109,468,096 54,734,048 27,367,024 13,683,512 6,841,756 3,420,878 1,710,439 5,131,318 2,565,659 7,696,978 3,848,489 11,545,468 5,772,734 2,886,367 8,659,102 4,329,551 12,988,654 6,494,327 19,482,982 9,741,491 29,224,474 14,612,237 43,836,712 21,918,356 10,959,178 5,479,589 16,438,768 8,219,384 4,109,692 2,054,846 1,027,423 3,082,270 1,541,135 4,623,406 2,311,703 6,935,110 3,467,555 10,402,666 5,201,333 15,604,000 7,802,000 3,901,000 1,950,500 975,250

More profiles

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