λ
Harmonic Matrix

8,092,145

5 × 59 × 27431
Deficient Odd Composite

8,092,145 has digital root 2. The neighboring primes are 8092141 and 8092177; its proper-divisor sum differs from the starting integer by -6,308,770.

Prime Factor Structure

Factorization String 5 × 59 × 27431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,875,520
Proper Divisor Sum 1,783,375
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8092141 ← → #8092177

Radix Representation

Decimal 8092145
Binary 11110110111100111110001 (23 bits)
Octal 0o36674761
Hexadecimal 0x7B79F1

Divisor Catalog (8)

1 5 59 295 27,431 137,155 1,618,429 8,092,145

Collatz Trajectory (186 steps to reach 1)

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

8,092,145 24,276,436 12,138,218 6,069,109 18,207,328 9,103,664 4,551,832 2,275,916 1,137,958 568,979 1,706,938 853,469 2,560,408 1,280,204 640,102 320,051 960,154 480,077 1,440,232 720,116 360,058 180,029 540,088 270,044 135,022 67,511 202,534 101,267 303,802 151,901 455,704 227,852 113,926 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 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

More profiles

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