λ
Harmonic Matrix

6,189,243

3 × 31 × 61 × 1091
Deficient Odd Composite

6,189,243 has digital root 6. The neighboring primes are 6189233 and 6189247; its proper-divisor sum differs from the starting integer by -3,712,374.

Prime Factor Structure

Factorization String 3 × 31 × 61 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,666,112
Proper Divisor Sum 2,476,869
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6189233 ← → #6189247

Radix Representation

Decimal 6189243
Binary 10111100111000010111011 (23 bits)
Octal 0o27470273
Hexadecimal 0x5E70BB

Divisor Catalog (16)

1 3 31 61 93 183 1,091 1,891 3,273 5,673 33,821 66,551 101,463 199,653 2,063,081 6,189,243

Collatz Trajectory (165 steps to reach 1)

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

6,189,243 18,567,730 9,283,865 27,851,596 13,925,798 6,962,899 20,888,698 10,444,349 31,333,048 15,666,524 7,833,262 3,916,631 11,749,894 5,874,947 17,624,842 8,812,421 26,437,264 13,218,632 6,609,316 3,304,658 1,652,329 4,956,988 2,478,494 1,239,247 3,717,742 1,858,871 5,576,614 2,788,307 8,364,922 4,182,461 12,547,384 6,273,692 3,136,846 1,568,423 4,705,270 2,352,635 7,057,906 3,528,953 10,586,860 5,293,430 2,646,715 7,940,146 3,970,073 11,910,220 5,955,110 2,977,555 8,932,666 4,466,333 13,399,000 6,699,500 3,349,750 1,674,875 5,024,626 2,512,313 7,536,940 3,768,470 1,884,235 5,652,706 2,826,353 8,479,060

More profiles

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