λ
Harmonic Matrix

8,591,065

5 × 7 × 389 × 631
Deficient Odd Composite

8,591,065 has digital root 7. The neighboring primes are 8591041 and 8591087; its proper-divisor sum differs from the starting integer by -5,351,090.

Prime Factor Structure

Factorization String 5 × 7 × 389 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,831,040
Proper Divisor Sum 3,239,975
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8591041 ← → #8591087

Radix Representation

Decimal 8591065
Binary 100000110001011011011001 (24 bits)
Octal 0o40613331
Hexadecimal 0x8316D9

Divisor Catalog (16)

1 5 7 35 389 631 1,945 2,723 3,155 4,417 13,615 22,085 245,459 1,227,295 1,718,213 8,591,065

Collatz Trajectory (155 steps to reach 1)

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

8,591,065 25,773,196 12,886,598 6,443,299 19,329,898 9,664,949 28,994,848 14,497,424 7,248,712 3,624,356 1,812,178 906,089 2,718,268 1,359,134 679,567 2,038,702 1,019,351 3,058,054 1,529,027 4,587,082 2,293,541 6,880,624 3,440,312 1,720,156 860,078 430,039 1,290,118 645,059 1,935,178 967,589 2,902,768 1,451,384 725,692 362,846 181,423 544,270 272,135 816,406 408,203 1,224,610 612,305 1,836,916 918,458 459,229 1,377,688 688,844 344,422 172,211 516,634 258,317 774,952 387,476 193,738 96,869 290,608 145,304 72,652 36,326 18,163 54,490

More profiles

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