54,343,242

2 × 3² × 137 × 22037

54,343,242 factors as 2 × 3^2 × 137 × 22037. Its 24 positive divisors give a proper-divisor sum of 64,265,274, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 137 × 22037

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 118,608,516

Proper Divisor Sum 64,265,274

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #54343229 ← → #54343243

Radix Representation

Decimal	54343242
Binary	11001111010011011001001010 (26 bits)
Octal	0o317233112
Hexadecimal	0x33D364A

Divisor Catalog (24)

Collatz Trajectory (88 steps to reach 1)

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

54,343,242 27,171,621 81,514,864 40,757,432 20,378,716 10,189,358 5,094,679 15,284,038 7,642,019 22,926,058 11,463,029 34,389,088 17,194,544 8,597,272 4,298,636 2,149,318 1,074,659 3,223,978 1,611,989 4,835,968 2,417,984 1,208,992 604,496 302,248 151,124 75,562 37,781 113,344 56,672 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600

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