λ
Harmonic Matrix

8,878,908

22 × 3 × 739909
Abundant Even Composite

8,878,908 has digital root 3. The neighboring primes are 8878873 and 8878921; its proper-divisor sum differs from the starting integer by 2,959,664.

Prime Factor Structure

Factorization String 2^2 × 3 × 739909
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,717,480
Proper Divisor Sum 11,838,572
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8878873 ← → #8878921

Radix Representation

Decimal 8878908
Binary 100001110111101100111100 (24 bits)
Octal 0o41675474
Hexadecimal 0x877B3C

Divisor Catalog (12)

1 2 3 4 6 12 739,909 1,479,818 2,219,727 2,959,636 4,439,454 8,878,908

Collatz Trajectory (168 steps to reach 1)

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

8,878,908 4,439,454 2,219,727 6,659,182 3,329,591 9,988,774 4,994,387 14,983,162 7,491,581 22,474,744 11,237,372 5,618,686 2,809,343 8,428,030 4,214,015 12,642,046 6,321,023 18,963,070 9,481,535 28,444,606 14,222,303 42,666,910 21,333,455 64,000,366 32,000,183 96,000,550 48,000,275 144,000,826 72,000,413 216,001,240 108,000,620 54,000,310 27,000,155 81,000,466 40,500,233 121,500,700 60,750,350 30,375,175 91,125,526 45,562,763 136,688,290 68,344,145 205,032,436 102,516,218 51,258,109 153,774,328 76,887,164 38,443,582 19,221,791 57,665,374 28,832,687 86,498,062 43,249,031 129,747,094 64,873,547 194,620,642 97,310,321 291,930,964 145,965,482 72,982,741

More profiles

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