λ
Harmonic Matrix

7,181,424

24 × 32 × 49871
Abundant Even Composite

7,181,424 has digital root 9. The neighboring primes are 7181423 and 7181431; its proper-divisor sum differs from the starting integer by 5,735,568.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 49871
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 20,098,416
Proper Divisor Sum 12,916,992
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7181423 ← → #7181431

Radix Representation

Decimal 7181424
Binary 11011011001010001110000 (23 bits)
Octal 0o33312160
Hexadecimal 0x6D9470

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 49,871 99,742 149,613 199,484 299,226 398,968 448,839 598,452 797,936 897,678 1,196,904 1,795,356 2,393,808 3,590,712 7,181,424

Collatz Trajectory (266 steps to reach 1)

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

7,181,424 3,590,712 1,795,356 897,678 448,839 1,346,518 673,259 2,019,778 1,009,889 3,029,668 1,514,834 757,417 2,272,252 1,136,126 568,063 1,704,190 852,095 2,556,286 1,278,143 3,834,430 1,917,215 5,751,646 2,875,823 8,627,470 4,313,735 12,941,206 6,470,603 19,411,810 9,705,905 29,117,716 14,558,858 7,279,429 21,838,288 10,919,144 5,459,572 2,729,786 1,364,893 4,094,680 2,047,340 1,023,670 511,835 1,535,506 767,753 2,303,260 1,151,630 575,815 1,727,446 863,723 2,591,170 1,295,585 3,886,756 1,943,378 971,689 2,915,068 1,457,534 728,767 2,186,302 1,093,151 3,279,454 1,639,727

More profiles

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