λ
Prime Ledger

8,131,009

37 × 219757
Deficient Odd Composite

8,131,009 has the prime decomposition 37 × 219757. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 219757
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,350,804
Proper Divisor Sum 219,795
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8131003 ← → #8131033

Radix Representation

Decimal 8131009
Binary 11111000001000111000001 (23 bits)
Octal 0o37010701
Hexadecimal 0x7C11C1

Divisor Catalog (4)

1 37 219,757 8,131,009

Collatz Trajectory (137 steps to reach 1)

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

8,131,009 24,393,028 12,196,514 6,098,257 18,294,772 9,147,386 4,573,693 13,721,080 6,860,540 3,430,270 1,715,135 5,145,406 2,572,703 7,718,110 3,859,055 11,577,166 5,788,583 17,365,750 8,682,875 26,048,626 13,024,313 39,072,940 19,536,470 9,768,235 29,304,706 14,652,353 43,957,060 21,978,530 10,989,265 32,967,796 16,483,898 8,241,949 24,725,848 12,362,924 6,181,462 3,090,731 9,272,194 4,636,097 13,908,292 6,954,146 3,477,073 10,431,220 5,215,610 2,607,805 7,823,416 3,911,708 1,955,854 977,927 2,933,782 1,466,891 4,400,674 2,200,337 6,601,012 3,300,506 1,650,253 4,950,760 2,475,380 1,237,690 618,845 1,856,536

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