λ
Harmonic Matrix

9,047,985

3 × 5 × 73 × 8263
Deficient Odd Composite

9,047,985 has digital root 6. The neighboring primes are 9047963 and 9047999; its proper-divisor sum differs from the starting integer by -3,419,106.

Prime Factor Structure

Factorization String 3 × 5 × 73 × 8263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,676,864
Proper Divisor Sum 5,628,879
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9047963 ← → #9047999

Radix Representation

Decimal 9047985
Binary 100010100000111110110001 (24 bits)
Octal 0o42407661
Hexadecimal 0x8A0FB1

Divisor Catalog (16)

1 3 5 15 73 219 365 1,095 8,263 24,789 41,315 123,945 603,199 1,809,597 3,015,995 9,047,985

Collatz Trajectory (88 steps to reach 1)

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

9,047,985 27,143,956 13,571,978 6,785,989 20,357,968 10,178,984 5,089,492 2,544,746 1,272,373 3,817,120 1,908,560 954,280 477,140 238,570 119,285 357,856 178,928 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266

More profiles

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