2,189,608

2³ × 59 × 4639

Starting at 2,189,608, the Collatz iteration reaches 1 after 86 steps. The first transition is 1094804; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 59 × 4639

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,176,000

Proper Divisor Sum 1,986,392

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2189599 ← → #2189609

Radix Representation

Decimal	2189608
Binary	1000010110100100101000 (22 bits)
Octal	0o10264450
Hexadecimal	0x216928

Divisor Catalog (16)

1 2 4 8 59 118 236 472 4,639 9,278 18,556 37,112 273,701 547,402 1,094,804 2,189,608

Collatz Trajectory (86 steps to reach 1)

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

2,189,608 1,094,804 547,402 273,701 821,104 410,552 205,276 102,638 51,319 153,958 76,979 230,938 115,469 346,408 173,204 86,602 43,301 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65

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