λ
Harmonic Matrix

9,058,940

22 × 5 × 11 × 41177
Abundant Even Composite

9,058,940 has digital root 8. The neighboring primes are 9058901 and 9058957; its proper-divisor sum differs from the starting integer by 2,635,832.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 41177
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,753,712
Proper Divisor Sum 11,694,772
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9058901 ← → #9058957

Radix Representation

Decimal 9058940
Binary 100010100011101001111100 (24 bits)
Octal 0o42435174
Hexadecimal 0x8A3A7C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 41,177 82,354 164,708 205,885 411,770 452,947 823,540 905,894 1,811,788 2,264,735 4,529,470 9,058,940

Collatz Trajectory (256 steps to reach 1)

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

9,058,940 4,529,470 2,264,735 6,794,206 3,397,103 10,191,310 5,095,655 15,286,966 7,643,483 22,930,450 11,465,225 34,395,676 17,197,838 8,598,919 25,796,758 12,898,379 38,695,138 19,347,569 58,042,708 29,021,354 14,510,677 43,532,032 21,766,016 10,883,008 5,441,504 2,720,752 1,360,376 680,188 340,094 170,047 510,142 255,071 765,214 382,607 1,147,822 573,911 1,721,734 860,867 2,582,602 1,291,301 3,873,904 1,936,952 968,476 484,238 242,119 726,358 363,179 1,089,538 544,769 1,634,308 817,154 408,577 1,225,732 612,866 306,433 919,300 459,650 229,825 689,476 344,738

More profiles

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