λ
Prime Ledger

9,081,126

2 × 33 × 19 × 53 × 167
Abundant Even Composite

9,081,126 has the prime decomposition 2 × 3^3 × 19 × 53 × 167. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 53 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,772,800
Proper Divisor Sum 12,691,674
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9081119 ← → #9081133

Radix Representation

Decimal 9081126
Binary 100010101001000100100110 (24 bits)
Octal 0o42510446
Hexadecimal 0x8A9126

Divisor Catalog (60 of 64)

1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 167 171 318 334 342 477 501 513 954 1,002 1,007 1,026 1,431 1,503 2,014 2,862 3,006 3,021 3,173 4,509 6,042 6,346 8,851 9,018 9,063 9,519 17,702 18,126 19,038 26,553 27,189 28,557 53,106 54,378 57,114 79,659 85,671 159,318 168,169 171,342 238,977 336,338 477,954 504,507 1,009,014

Collatz Trajectory (217 steps to reach 1)

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

9,081,126 4,540,563 13,621,690 6,810,845 20,432,536 10,216,268 5,108,134 2,554,067 7,662,202 3,831,101 11,493,304 5,746,652 2,873,326 1,436,663 4,309,990 2,154,995 6,464,986 3,232,493 9,697,480 4,848,740 2,424,370 1,212,185 3,636,556 1,818,278 909,139 2,727,418 1,363,709 4,091,128 2,045,564 1,022,782 511,391 1,534,174 767,087 2,301,262 1,150,631 3,451,894 1,725,947 5,177,842 2,588,921 7,766,764 3,883,382 1,941,691 5,825,074 2,912,537 8,737,612 4,368,806 2,184,403 6,553,210 3,276,605 9,829,816 4,914,908 2,457,454 1,228,727 3,686,182 1,843,091 5,529,274 2,764,637 8,293,912 4,146,956 2,073,478

More profiles

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