λ
Prime Ledger

41,090

2 × 5 × 7 × 587
Abundant Even Composite

41,090 has the prime decomposition 2 × 5 × 7 × 587. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 84,672
Proper Divisor Sum 43,582
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #41081 ← → #41113

Radix Representation

Decimal 41090
Binary 1010000010000010 (16 bits)
Octal 0o120202
Hexadecimal 0xA082

Divisor Catalog (16)

1 2 5 7 10 14 35 70 587 1,174 2,935 4,109 5,870 8,218 20,545 41,090

Collatz Trajectory (150 steps to reach 1)

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

41,090 20,545 61,636 30,818 15,409 46,228 23,114 11,557 34,672 17,336 8,668 4,334 2,167 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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