λ
Harmonic Matrix

8,825,260

22 × 5 × 441263
Abundant Even Composite

8,825,260 has digital root 4. The neighboring primes are 8825239 and 8825263; its proper-divisor sum differs from the starting integer by 882,568.

Prime Factor Structure

Factorization String 2^2 × 5 × 441263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,533,088
Proper Divisor Sum 9,707,828
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8825239 ← → #8825263

Radix Representation

Decimal 8825260
Binary 100001101010100110101100 (24 bits)
Octal 0o41524654
Hexadecimal 0x86A9AC

Divisor Catalog (12)

1 2 4 5 10 20 441,263 882,526 1,765,052 2,206,315 4,412,630 8,825,260

Collatz Trajectory (93 steps to reach 1)

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

8,825,260 4,412,630 2,206,315 6,618,946 3,309,473 9,928,420 4,964,210 2,482,105 7,446,316 3,723,158 1,861,579 5,584,738 2,792,369 8,377,108 4,188,554 2,094,277 6,282,832 3,141,416 1,570,708 785,354 392,677 1,178,032 589,016 294,508 147,254 73,627 220,882 110,441 331,324 165,662 82,831 248,494 124,247 372,742 186,371 559,114 279,557 838,672 419,336 209,668 104,834 52,417 157,252 78,626 39,313 117,940 58,970 29,485 88,456 44,228 22,114 11,057 33,172 16,586 8,293 24,880 12,440 6,220 3,110 1,555

More profiles

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