8,479,548

2² × 3² × 7² × 11 × 19 × 23

Starting at 8,479,548, the Collatz iteration reaches 1 after 199 steps. The first transition is 4239774; the starting value is even with 216 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 11 × 19 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 29,877,120

Proper Divisor Sum 21,397,572

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8479547 ← → #8479553

Radix Representation

Decimal	8479548
Binary	100000010110001100111100 (24 bits)
Octal	0o40261474
Hexadecimal	0x81633C

Divisor Catalog (60 of 216)

1 2 3 4 6 7 9 11 12 14 18 19 21 22 23 28 33 36 38 42 44 46 49 57 63 66 69 76 77 84 92 98 99 114 126 132 133 138 147 154 161 171 196 198 207 209 228 231 252 253 266 276 294 308 322 342 396 399 414 418

Collatz Trajectory (199 steps to reach 1)

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

8,479,548 4,239,774 2,119,887 6,359,662 3,179,831 9,539,494 4,769,747 14,309,242 7,154,621 21,463,864 10,731,932 5,365,966 2,682,983 8,048,950 4,024,475 12,073,426 6,036,713 18,110,140 9,055,070 4,527,535 13,582,606 6,791,303 20,373,910 10,186,955 30,560,866 15,280,433 45,841,300 22,920,650 11,460,325 34,380,976 17,190,488 8,595,244 4,297,622 2,148,811 6,446,434 3,223,217 9,669,652 4,834,826 2,417,413 7,252,240 3,626,120 1,813,060 906,530 453,265 1,359,796 679,898 339,949 1,019,848 509,924 254,962 127,481 382,444 191,222 95,611 286,834 143,417 430,252 215,126 107,563 322,690

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