54,318

2 × 3 × 11 × 823

Starting at 54,318, the Collatz iteration reaches 1 after 39 steps. The first transition is 27159; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 118,656

Proper Divisor Sum 64,338

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #54311 ← → #54319

Radix Representation

Decimal	54318
Binary	1101010000101110 (16 bits)
Octal	0o152056
Hexadecimal	0xD42E

Divisor Catalog (16)

1 2 3 6 11 22 33 66 823 1,646 2,469 4,938 9,053 18,106 27,159 54,318

Collatz Trajectory (39 steps to reach 1)

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

54,318 27,159 81,478 40,739 122,218 61,109 183,328 91,664 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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