4,384,356

2² × 3 × 277 × 1319

Starting at 4,384,356, the Collatz iteration reaches 1 after 61 steps. The first transition is 2192178; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 277 × 1319

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,274,880

Proper Divisor Sum 5,890,524

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4384343 ← → #4384357

Radix Representation

Decimal	4384356
Binary	10000101110011001100100 (23 bits)
Octal	0o20563144
Hexadecimal	0x42E664

Divisor Catalog (24)

1 2 3 4 6 12 277 554 831 1,108 1,319 1,662 2,638 3,324 3,957 5,276 7,914 15,828 365,363 730,726 1,096,089 1,461,452 2,192,178 4,384,356

Collatz Trajectory (61 steps to reach 1)

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

4,384,356 2,192,178 1,096,089 3,288,268 1,644,134 822,067 2,466,202 1,233,101 3,699,304 1,849,652 924,826 462,413 1,387,240 693,620 346,810 173,405 520,216 260,108 130,054 65,027 195,082 97,541 292,624 146,312 73,156 36,578 18,289 54,868 27,434 13,717 41,152 20,576 10,288 5,144 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4

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