λ
Harmonic Matrix

8,324,078

2 × 7 × 594577
Deficient Even Composite

8,324,078 has digital root 5. The neighboring primes are 8324077 and 8324083; its proper-divisor sum differs from the starting integer by -2,378,284.

Prime Factor Structure

Factorization String 2 × 7 × 594577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,269,872
Proper Divisor Sum 5,945,794
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8324077 ← → #8324083

Radix Representation

Decimal 8324078
Binary 11111110000001111101110 (23 bits)
Octal 0o37601756
Hexadecimal 0x7F03EE

Divisor Catalog (8)

1 2 7 14 594,577 1,189,154 4,162,039 8,324,078

Collatz Trajectory (199 steps to reach 1)

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

8,324,078 4,162,039 12,486,118 6,243,059 18,729,178 9,364,589 28,093,768 14,046,884 7,023,442 3,511,721 10,535,164 5,267,582 2,633,791 7,901,374 3,950,687 11,852,062 5,926,031 17,778,094 8,889,047 26,667,142 13,333,571 40,000,714 20,000,357 60,001,072 30,000,536 15,000,268 7,500,134 3,750,067 11,250,202 5,625,101 16,875,304 8,437,652 4,218,826 2,109,413 6,328,240 3,164,120 1,582,060 791,030 395,515 1,186,546 593,273 1,779,820 889,910 444,955 1,334,866 667,433 2,002,300 1,001,150 500,575 1,501,726 750,863 2,252,590 1,126,295 3,378,886 1,689,443 5,068,330 2,534,165 7,602,496 3,801,248 1,900,624

More profiles

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