λ
Harmonic Matrix

7,399,242

2 × 33 × 263 × 521
Abundant Even Composite

7,399,242 has digital root 9. The neighboring primes are 7399241 and 7399243; its proper-divisor sum differs from the starting integer by 1,738,476.

Prime Factor Structure

Factorization String 2 × 3^3 × 263 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,536,960
Proper Divisor Sum 9,137,718
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7399241 ← → #7399243

Radix Representation

Decimal 7399242
Binary 11100001110011101001010 (23 bits)
Octal 0o34163512
Hexadecimal 0x70E74A

Divisor Catalog (32)

1 2 3 6 9 18 27 54 263 521 526 789 1,042 1,563 1,578 2,367 3,126 4,689 4,734 7,101 9,378 14,067 14,202 28,134 137,023 274,046 411,069 822,138 1,233,207 2,466,414 3,699,621 7,399,242

Collatz Trajectory (111 steps to reach 1)

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

7,399,242 3,699,621 11,098,864 5,549,432 2,774,716 1,387,358 693,679 2,081,038 1,040,519 3,121,558 1,560,779 4,682,338 2,341,169 7,023,508 3,511,754 1,755,877 5,267,632 2,633,816 1,316,908 658,454 329,227 987,682 493,841 1,481,524 740,762 370,381 1,111,144 555,572 277,786 138,893 416,680 208,340 104,170 52,085 156,256 78,128 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828

More profiles

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