λ
Harmonic Matrix

8,524,862

2 × 4262431
Deficient Even Composite

8,524,862 has digital root 8. The neighboring primes are 8524853 and 8524877; its proper-divisor sum differs from the starting integer by -4,262,428.

Prime Factor Structure

Factorization String 2 × 4262431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,787,296
Proper Divisor Sum 4,262,434
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8524853 ← → #8524877

Radix Representation

Decimal 8524862
Binary 100000100001010000111110 (24 bits)
Octal 0o40412076
Hexadecimal 0x82143E

Divisor Catalog (4)

1 2 4,262,431 8,524,862

Collatz Trajectory (199 steps to reach 1)

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

8,524,862 4,262,431 12,787,294 6,393,647 19,180,942 9,590,471 28,771,414 14,385,707 43,157,122 21,578,561 64,735,684 32,367,842 16,183,921 48,551,764 24,275,882 12,137,941 36,413,824 18,206,912 9,103,456 4,551,728 2,275,864 1,137,932 568,966 284,483 853,450 426,725 1,280,176 640,088 320,044 160,022 80,011 240,034 120,017 360,052 180,026 90,013 270,040 135,020 67,510 33,755 101,266 50,633 151,900 75,950 37,975 113,926 56,963 170,890 85,445 256,336 128,168 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502

More profiles

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