540,388

2² × 53 × 2549

540,388 factors as 2^2 × 53 × 2549. Its 12 positive divisors give a proper-divisor sum of 423,512, so this integer is deficient. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 2549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 963,900

Proper Divisor Sum 423,512

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #540383 ← → #540389

Radix Representation

Decimal	540388
Binary	10000011111011100100 (20 bits)
Octal	0o2037344
Hexadecimal	0x83EE4

Divisor Catalog (12)

1 2 4 53 106 212 2,549 5,098 10,196 135,097 270,194 540,388

Collatz Trajectory (63 steps to reach 1)

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

540,388 270,194 135,097 405,292 202,646 101,323 303,970 151,985 455,956 227,978 113,989 341,968 170,984 85,492 42,746 21,373 64,120 32,060 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16

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