554,958

2 × 3³ × 43 × 239

Starting at 554,958, the Collatz iteration reaches 1 after 177 steps. The first transition is 277479; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 43 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,267,200

Proper Divisor Sum 712,242

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #554951 ← → #554959

Radix Representation

Decimal	554958
Binary	10000111011111001110 (20 bits)
Octal	0o2073716
Hexadecimal	0x877CE

Divisor Catalog (32)

1 2 3 6 9 18 27 43 54 86 129 239 258 387 478 717 774 1,161 1,434 2,151 2,322 4,302 6,453 10,277 12,906 20,554 30,831 61,662 92,493 184,986 277,479 554,958

Collatz Trajectory (177 steps to reach 1)

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

554,958 277,479 832,438 416,219 1,248,658 624,329 1,872,988 936,494 468,247 1,404,742 702,371 2,107,114 1,053,557 3,160,672 1,580,336 790,168 395,084 197,542 98,771 296,314 148,157 444,472 222,236 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

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