λ
Harmonic Matrix

9,125,798

2 × 11 × 414809
Deficient Even Composite

9,125,798 has digital root 5. The neighboring primes are 9125797 and 9125801; its proper-divisor sum differs from the starting integer by -3,318,436.

Prime Factor Structure

Factorization String 2 × 11 × 414809
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,933,160
Proper Divisor Sum 5,807,362
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9125797 ← → #9125801

Radix Representation

Decimal 9125798
Binary 100010110011111110100110 (24 bits)
Octal 0o42637646
Hexadecimal 0x8B3FA6

Divisor Catalog (8)

1 2 11 22 414,809 829,618 4,562,899 9,125,798

Collatz Trajectory (181 steps to reach 1)

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

9,125,798 4,562,899 13,688,698 6,844,349 20,533,048 10,266,524 5,133,262 2,566,631 7,699,894 3,849,947 11,549,842 5,774,921 17,324,764 8,662,382 4,331,191 12,993,574 6,496,787 19,490,362 9,745,181 29,235,544 14,617,772 7,308,886 3,654,443 10,963,330 5,481,665 16,444,996 8,222,498 4,111,249 12,333,748 6,166,874 3,083,437 9,250,312 4,625,156 2,312,578 1,156,289 3,468,868 1,734,434 867,217 2,601,652 1,300,826 650,413 1,951,240 975,620 487,810 243,905 731,716 365,858 182,929 548,788 274,394 137,197 411,592 205,796 102,898 51,449 154,348 77,174 38,587 115,762 57,881

More profiles

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