λ
Harmonic Matrix

8,626,998

2 × 3 × 1437833
Abundant Even Composite

8,626,998 has digital root 3. The neighboring primes are 8626927 and 8626999; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1437833
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,254,008
Proper Divisor Sum 8,627,010
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8626927 ← → #8626999

Radix Representation

Decimal 8626998
Binary 100000111010001100110110 (24 bits)
Octal 0o40721466
Hexadecimal 0x83A336

Divisor Catalog (8)

1 2 3 6 1,437,833 2,875,666 4,313,499 8,626,998

Collatz Trajectory (124 steps to reach 1)

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

8,626,998 4,313,499 12,940,498 6,470,249 19,410,748 9,705,374 4,852,687 14,558,062 7,279,031 21,837,094 10,918,547 32,755,642 16,377,821 49,133,464 24,566,732 12,283,366 6,141,683 18,425,050 9,212,525 27,637,576 13,818,788 6,909,394 3,454,697 10,364,092 5,182,046 2,591,023 7,773,070 3,886,535 11,659,606 5,829,803 17,489,410 8,744,705 26,234,116 13,117,058 6,558,529 19,675,588 9,837,794 4,918,897 14,756,692 7,378,346 3,689,173 11,067,520 5,533,760 2,766,880 1,383,440 691,720 345,860 172,930 86,465 259,396 129,698 64,849 194,548 97,274 48,637 145,912 72,956 36,478 18,239 54,718

More profiles

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