4,842,564

2² × 3 × 403547

Starting at 4,842,564, the Collatz iteration reaches 1 after 113 steps. The first transition is 2421282; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 403547

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,299,344

Proper Divisor Sum 6,456,780

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4842533 ← → #4842577

Radix Representation

Decimal	4842564
Binary	10010011110010001000100 (23 bits)
Octal	0o22362104
Hexadecimal	0x49E444

Divisor Catalog (12)

1 2 3 4 6 12 403,547 807,094 1,210,641 1,614,188 2,421,282 4,842,564

Collatz Trajectory (113 steps to reach 1)

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

4,842,564 2,421,282 1,210,641 3,631,924 1,815,962 907,981 2,723,944 1,361,972 680,986 340,493 1,021,480 510,740 255,370 127,685 383,056 191,528 95,764 47,882 23,941 71,824 35,912 17,956 8,978 4,489 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128

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