λ
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54,018

2 × 32 × 3001
Abundant Even Composite

54,018 factors as 2 × 3^2 × 3001. Its 12 positive divisors give a proper-divisor sum of 63,060, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 3001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 117,078
Proper Divisor Sum 63,060
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #54013 ← → #54037

Radix Representation

Decimal 54018
Binary 1101001100000010 (16 bits)
Octal 0o151402
Hexadecimal 0xD302

Divisor Catalog (12)

1 2 3 6 9 18 3,001 6,002 9,003 18,006 27,009 54,018

Collatz Trajectory (78 steps to reach 1)

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

54,018 27,009 81,028 40,514 20,257 60,772 30,386 15,193 45,580 22,790 11,395 34,186 17,093 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58

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