λ
Harmonic Matrix

8,782,508

22 × 7 × 313661
Abundant Even Composite

8,782,508 has digital root 2. The neighboring primes are 8782463 and 8782513; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 313661
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,565,072
Proper Divisor Sum 8,782,564
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8782463 ← → #8782513

Radix Representation

Decimal 8782508
Binary 100001100000001010101100 (24 bits)
Octal 0o41401254
Hexadecimal 0x8602AC

Divisor Catalog (12)

1 2 4 7 14 28 313,661 627,322 1,254,644 2,195,627 4,391,254 8,782,508

Collatz Trajectory (124 steps to reach 1)

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

8,782,508 4,391,254 2,195,627 6,586,882 3,293,441 9,880,324 4,940,162 2,470,081 7,410,244 3,705,122 1,852,561 5,557,684 2,778,842 1,389,421 4,168,264 2,084,132 1,042,066 521,033 1,563,100 781,550 390,775 1,172,326 586,163 1,758,490 879,245 2,637,736 1,318,868 659,434 329,717 989,152 494,576 247,288 123,644 61,822 30,911 92,734 46,367 139,102 69,551 208,654 104,327 312,982 156,491 469,474 234,737 704,212 352,106 176,053 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708

More profiles

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