8,389,556

2² × 7 × 103 × 2909

Starting at 8,389,556, the Collatz iteration reaches 1 after 168 steps. The first transition is 4194778; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 103 × 2909

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,947,840

Proper Divisor Sum 8,558,284

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8389553 ← → #8389559

Radix Representation

Decimal	8389556
Binary	100000000000001110110100 (24 bits)
Octal	0o40001664
Hexadecimal	0x8003B4

Divisor Catalog (24)

1 2 4 7 14 28 103 206 412 721 1,442 2,884 2,909 5,818 11,636 20,363 40,726 81,452 299,627 599,254 1,198,508 2,097,389 4,194,778 8,389,556

Collatz Trajectory (168 steps to reach 1)

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

8,389,556 4,194,778 2,097,389 6,292,168 3,146,084 1,573,042 786,521 2,359,564 1,179,782 589,891 1,769,674 884,837 2,654,512 1,327,256 663,628 331,814 165,907 497,722 248,861 746,584 373,292 186,646 93,323 279,970 139,985 419,956 209,978 104,989 314,968 157,484 78,742 39,371 118,114 59,057 177,172 88,586 44,293 132,880 66,440 33,220 16,610 8,305 24,916 12,458 6,229 18,688 9,344 4,672 2,336 1,168 584 292 146 73 220 110 55 166 83 250

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