108,652

2² × 23 × 1181

Starting at 108,652, the Collatz iteration reaches 1 after 40 steps. The first transition is 54326; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 1181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 198,576

Proper Divisor Sum 89,924

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #108649 ← → #108677

Radix Representation

Decimal	108652
Binary	11010100001101100 (17 bits)
Octal	0o324154
Hexadecimal	0x1A86C

Divisor Catalog (12)

1 2 4 23 46 92 1,181 2,362 4,724 27,163 54,326 108,652

Collatz Trajectory (40 steps to reach 1)

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

108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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