2,213,200

2⁴ × 5² × 11 × 503

Starting at 2,213,200, the Collatz iteration reaches 1 after 42 steps. The first transition is 1106600; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 5,812,128

Proper Divisor Sum 3,598,928

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #2213191 ← → #2213201

Radix Representation

Decimal	2213200
Binary	1000011100010101010000 (22 bits)
Octal	0o10342520
Hexadecimal	0x21C550

Divisor Catalog (60)

1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 503 550 880 1,006 1,100 2,012 2,200 2,515 4,024 4,400 5,030 5,533 8,048 10,060 11,066 12,575 20,120 22,132 25,150 27,665 40,240 44,264 50,300 55,330 88,528 100,600 110,660 138,325 201,200 221,320 276,650 442,640 553,300 1,106,600 2,213,200

Collatz Trajectory (42 steps to reach 1)

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

2,213,200 1,106,600 553,300 276,650 138,325 414,976 207,488 103,744 51,872 25,936 12,968 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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