λ
Prime Ledger

8,513,730

2 × 32 × 5 × 94597
Abundant Even Composite

8,513,730 has the prime decomposition 2 × 3^2 × 5 × 94597. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 94597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,135,932
Proper Divisor Sum 13,622,202
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8513693 ← → #8513731

Radix Representation

Decimal 8513730
Binary 100000011110100011000010 (24 bits)
Octal 0o40364302
Hexadecimal 0x81E8C2

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 94,597 189,194 283,791 472,985 567,582 851,373 945,970 1,418,955 1,702,746 2,837,910 4,256,865 8,513,730

Collatz Trajectory (150 steps to reach 1)

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

8,513,730 4,256,865 12,770,596 6,385,298 3,192,649 9,577,948 4,788,974 2,394,487 7,183,462 3,591,731 10,775,194 5,387,597 16,162,792 8,081,396 4,040,698 2,020,349 6,061,048 3,030,524 1,515,262 757,631 2,272,894 1,136,447 3,409,342 1,704,671 5,114,014 2,557,007 7,671,022 3,835,511 11,506,534 5,753,267 17,259,802 8,629,901 25,889,704 12,944,852 6,472,426 3,236,213 9,708,640 4,854,320 2,427,160 1,213,580 606,790 303,395 910,186 455,093 1,365,280 682,640 341,320 170,660 85,330 42,665 127,996 63,998 31,999 95,998 47,999 143,998 71,999 215,998 107,999 323,998

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