4,382,308

2² × 7 × 156511

Starting at 4,382,308, the Collatz iteration reaches 1 after 118 steps. The first transition is 2191154; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 156511

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,764,672

Proper Divisor Sum 4,382,364

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4382303 ← → #4382309

Radix Representation

Decimal	4382308
Binary	10000101101111001100100 (23 bits)
Octal	0o20557144
Hexadecimal	0x42DE64

Divisor Catalog (12)

1 2 4 7 14 28 156,511 313,022 626,044 1,095,577 2,191,154 4,382,308

Collatz Trajectory (118 steps to reach 1)

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

4,382,308 2,191,154 1,095,577 3,286,732 1,643,366 821,683 2,465,050 1,232,525 3,697,576 1,848,788 924,394 462,197 1,386,592 693,296 346,648 173,324 86,662 43,331 129,994 64,997 194,992 97,496 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637

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