8,543,258

2 × 23 × 185723

Starting at 8,543,258, the Collatz iteration reaches 1 after 243 steps. The first transition is 4271629; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 185723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,372,128

Proper Divisor Sum 4,828,870

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8543257 ← → #8543261

Radix Representation

Decimal	8543258
Binary	100000100101110000011010 (24 bits)
Octal	0o40456032
Hexadecimal	0x825C1A

Divisor Catalog (8)

1 2 23 46 185,723 371,446 4,271,629 8,543,258

Collatz Trajectory (243 steps to reach 1)

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

8,543,258 4,271,629 12,814,888 6,407,444 3,203,722 1,601,861 4,805,584 2,402,792 1,201,396 600,698 300,349 901,048 450,524 225,262 112,631 337,894 168,947 506,842 253,421 760,264 380,132 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486 50,743 152,230 76,115 228,346 114,173 342,520 171,260 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133

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