λ
Harmonic Matrix

9,126,183

3 × 112 × 31 × 811
Deficient Odd Composite

9,126,183 has digital root 3. The neighboring primes are 9126181 and 9126197; its proper-divisor sum differs from the starting integer by -4,428,878.

Prime Factor Structure

Factorization String 3 × 11^2 × 31 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,823,488
Proper Divisor Sum 4,697,305
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9126181 ← → #9126197

Radix Representation

Decimal 9126183
Binary 100010110100000100100111 (24 bits)
Octal 0o42640447
Hexadecimal 0x8B4127

Divisor Catalog (24)

1 3 11 31 33 93 121 341 363 811 1,023 2,433 3,751 8,921 11,253 25,141 26,763 75,423 98,131 276,551 294,393 829,653 3,042,061 9,126,183

Collatz Trajectory (80 steps to reach 1)

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

9,126,183 27,378,550 13,689,275 41,067,826 20,533,913 61,601,740 30,800,870 15,400,435 46,201,306 23,100,653 69,301,960 34,650,980 17,325,490 8,662,745 25,988,236 12,994,118 6,497,059 19,491,178 9,745,589 29,236,768 14,618,384 7,309,192 3,654,596 1,827,298 913,649 2,740,948 1,370,474 685,237 2,055,712 1,027,856 513,928 256,964 128,482 64,241 192,724 96,362 48,181 144,544 72,272 36,136 18,068 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610

More profiles

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