540,387

3² × 97 × 619

540,387 factors as 3^2 × 97 × 619. Its 12 positive divisors give a proper-divisor sum of 249,493, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3^2 × 97 × 619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 789,880

Proper Divisor Sum 249,493

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #540383 ← → #540389

Radix Representation

Decimal	540387
Binary	10000011111011100011 (20 bits)
Octal	0o2037343
Hexadecimal	0x83EE3

Divisor Catalog (12)

1 3 9 97 291 619 873 1,857 5,571 60,043 180,129 540,387

Collatz Trajectory (115 steps to reach 1)

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

540,387 1,621,162 810,581 2,431,744 1,215,872 607,936 303,968 151,984 75,992 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573

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