4,412,372

2² × 229 × 4817

Starting at 4,412,372, the Collatz iteration reaches 1 after 87 steps. The first transition is 2206186; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 229 × 4817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,756,980

Proper Divisor Sum 3,344,608

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4412347 ← → #4412377

Radix Representation

Decimal	4412372
Binary	10000110101001111010100 (23 bits)
Octal	0o20651724
Hexadecimal	0x4353D4

Divisor Catalog (12)

1 2 4 229 458 916 4,817 9,634 19,268 1,103,093 2,206,186 4,412,372

Collatz Trajectory (87 steps to reach 1)

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

4,412,372 2,206,186 1,103,093 3,309,280 1,654,640 827,320 413,660 206,830 103,415 310,246 155,123 465,370 232,685 698,056 349,028 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130

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