4,330,576

2⁴ × 31 × 8731

Starting at 4,330,576, the Collatz iteration reaches 1 after 66 steps. The first transition is 2165288; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 31 × 8731

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,662,144

Proper Divisor Sum 4,331,568

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4330567 ← → #4330583

Radix Representation

Decimal	4330576
Binary	10000100001010001010000 (23 bits)
Octal	0o20412120
Hexadecimal	0x421450

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 8,731 17,462 34,924 69,848 139,696 270,661 541,322 1,082,644 2,165,288 4,330,576

Collatz Trajectory (66 steps to reach 1)

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

4,330,576 2,165,288 1,082,644 541,322 270,661 811,984 405,992 202,996 101,498 50,749 152,248 76,124 38,062 19,031 57,094 28,547 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

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