8,472,884

2² × 7² × 139 × 311

Starting at 8,472,884, the Collatz iteration reaches 1 after 106 steps. The first transition is 4236442; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 139 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,428,320

Proper Divisor Sum 8,955,436

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8472881 ← → #8472899

Radix Representation

Decimal	8472884
Binary	100000010100100100110100 (24 bits)
Octal	0o40244464
Hexadecimal	0x814934

Divisor Catalog (36)

1 2 4 7 14 28 49 98 139 196 278 311 556 622 973 1,244 1,946 2,177 3,892 4,354 6,811 8,708 13,622 15,239 27,244 30,478 43,229 60,956 86,458 172,916 302,603 605,206 1,210,412 2,118,221 4,236,442 8,472,884

Collatz Trajectory (106 steps to reach 1)

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

8,472,884 4,236,442 2,118,221 6,354,664 3,177,332 1,588,666 794,333 2,383,000 1,191,500 595,750 297,875 893,626 446,813 1,340,440 670,220 335,110 167,555 502,666 251,333 754,000 377,000 188,500 94,250 47,125 141,376 70,688 35,344 17,672 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498

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