λ
Harmonic Matrix

8,825,140

22 × 5 × 441257
Abundant Even Composite

8,825,140 has digital root 1. The neighboring primes are 8825119 and 8825149; its proper-divisor sum differs from the starting integer by 882,556.

Prime Factor Structure

Factorization String 2^2 × 5 × 441257
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,532,836
Proper Divisor Sum 9,707,696
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8825119 ← → #8825149

Radix Representation

Decimal 8825140
Binary 100001101010100100110100 (24 bits)
Octal 0o41524464
Hexadecimal 0x86A934

Divisor Catalog (12)

1 2 4 5 10 20 441,257 882,514 1,765,028 2,206,285 4,412,570 8,825,140

Collatz Trajectory (88 steps to reach 1)

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

8,825,140 4,412,570 2,206,285 6,618,856 3,309,428 1,654,714 827,357 2,482,072 1,241,036 620,518 310,259 930,778 465,389 1,396,168 698,084 349,042 174,521 523,564 261,782 130,891 392,674 196,337 589,012 294,506 147,253 441,760 220,880 110,440 55,220 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260

More profiles

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