λ
Harmonic Matrix

8,999,009

8999009
Deficient Odd Prime

8,999,009 has digital root 8. The neighboring primes are 8998991 and 8999033; its proper-divisor sum differs from the starting integer by -8,999,008.

Prime Factor Structure

Factorization String 8999009
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,999,010
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8998991 ← → #8999033

Radix Representation

Decimal 8999009
Binary 100010010101000001100001 (24 bits)
Octal 0o42250141
Hexadecimal 0x895061

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

8,999,009 26,997,028 13,498,514 6,749,257 20,247,772 10,123,886 5,061,943 15,185,830 7,592,915 22,778,746 11,389,373 34,168,120 17,084,060 8,542,030 4,271,015 12,813,046 6,406,523 19,219,570 9,609,785 28,829,356 14,414,678 7,207,339 21,622,018 10,811,009 32,433,028 16,216,514 8,108,257 24,324,772 12,162,386 6,081,193 18,243,580 9,121,790 4,560,895 13,682,686 6,841,343 20,524,030 10,262,015 30,786,046 15,393,023 46,179,070 23,089,535 69,268,606 34,634,303 103,902,910 51,951,455 155,854,366 77,927,183 233,781,550 116,890,775 350,672,326 175,336,163 526,008,490 263,004,245 789,012,736 394,506,368 197,253,184 98,626,592 49,313,296 24,656,648 12,328,324

More profiles

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