λ
Harmonic Matrix

9,092,111

7 × 61 × 107 × 199
Deficient Odd Composite

9,092,111 has digital root 5. The neighboring primes are 9092087 and 9092113; its proper-divisor sum differs from the starting integer by -7,470,622.

Prime Factor Structure

Factorization String 7 × 61 × 107 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,713,600
Proper Divisor Sum 1,621,489
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9092087 ← → #9092113

Radix Representation

Decimal 9092111
Binary 100010101011110000001111 (24 bits)
Octal 0o42536017
Hexadecimal 0x8ABC0F

Divisor Catalog (16)

1 7 61 107 199 427 749 1,393 6,527 12,139 21,293 45,689 84,973 149,051 1,298,873 9,092,111

Collatz Trajectory (256 steps to reach 1)

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

9,092,111 27,276,334 13,638,167 40,914,502 20,457,251 61,371,754 30,685,877 92,057,632 46,028,816 23,014,408 11,507,204 5,753,602 2,876,801 8,630,404 4,315,202 2,157,601 6,472,804 3,236,402 1,618,201 4,854,604 2,427,302 1,213,651 3,640,954 1,820,477 5,461,432 2,730,716 1,365,358 682,679 2,048,038 1,024,019 3,072,058 1,536,029 4,608,088 2,304,044 1,152,022 576,011 1,728,034 864,017 2,592,052 1,296,026 648,013 1,944,040 972,020 486,010 243,005 729,016 364,508 182,254 91,127 273,382 136,691 410,074 205,037 615,112 307,556 153,778 76,889 230,668 115,334 57,667

More profiles

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