554,160

2⁴ × 3 × 5 × 2309

Starting at 554,160, the Collatz iteration reaches 1 after 146 steps. The first transition is 277080; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 2309

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,718,640

Proper Divisor Sum 1,164,480

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #554137 ← → #554167

Radix Representation

Decimal	554160
Binary	10000111010010110000 (20 bits)
Octal	0o2072260
Hexadecimal	0x874B0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2,309 4,618 6,927 9,236 11,545 13,854 18,472 23,090 27,708 34,635 36,944 46,180 55,416 69,270 92,360 110,832 138,540 184,720 277,080 554,160

Collatz Trajectory (146 steps to reach 1)

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

554,160 277,080 138,540 69,270 34,635 103,906 51,953 155,860 77,930 38,965 116,896 58,448 29,224 14,612 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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