λ
Harmonic Matrix

8,099,131

73 × 110947
Deficient Odd Composite

8,099,131 has digital root 4. The neighboring primes are 8099083 and 8099141; its proper-divisor sum differs from the starting integer by -7,988,110.

Prime Factor Structure

Factorization String 73 × 110947
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,210,152
Proper Divisor Sum 111,021
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8099083 ← → #8099141

Radix Representation

Decimal 8099131
Binary 11110111001010100111011 (23 bits)
Octal 0o36712473
Hexadecimal 0x7B953B

Divisor Catalog (4)

1 73 110,947 8,099,131

Collatz Trajectory (199 steps to reach 1)

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

8,099,131 24,297,394 12,148,697 36,446,092 18,223,046 9,111,523 27,334,570 13,667,285 41,001,856 20,500,928 10,250,464 5,125,232 2,562,616 1,281,308 640,654 320,327 960,982 480,491 1,441,474 720,737 2,162,212 1,081,106 540,553 1,621,660 810,830 405,415 1,216,246 608,123 1,824,370 912,185 2,736,556 1,368,278 684,139 2,052,418 1,026,209 3,078,628 1,539,314 769,657 2,308,972 1,154,486 577,243 1,731,730 865,865 2,597,596 1,298,798 649,399 1,948,198 974,099 2,922,298 1,461,149 4,383,448 2,191,724 1,095,862 547,931 1,643,794 821,897 2,465,692 1,232,846 616,423 1,849,270

More profiles

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