λ
Sigma Notebook

5,300,243

13 × 17 × 29 × 827
Deficient Odd Composite

5,300,243 is odd and not a perfect square. Its factorization is 13 × 17 × 29 × 827 and its 16 divisors sum to 6,259,680.

Prime Factor Structure

Factorization String 13 × 17 × 29 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,259,680
Proper Divisor Sum 959,437
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5300227 ← → #5300257

Radix Representation

Decimal 5300243
Binary 10100001110000000010011 (23 bits)
Octal 0o24160023
Hexadecimal 0x50E013

Divisor Catalog (16)

1 13 17 29 221 377 493 827 6,409 10,751 14,059 23,983 182,767 311,779 407,711 5,300,243

Collatz Trajectory (69 steps to reach 1)

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

5,300,243 15,900,730 7,950,365 23,851,096 11,925,548 5,962,774 2,981,387 8,944,162 4,472,081 13,416,244 6,708,122 3,354,061 10,062,184 5,031,092 2,515,546 1,257,773 3,773,320 1,886,660 943,330 471,665 1,414,996 707,498 353,749 1,061,248 530,624 265,312 132,656 66,328 33,164 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26

More profiles

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