4,482,333

3² × 139 × 3583

Starting at 4,482,333, the Collatz iteration reaches 1 after 118 steps. The first transition is 13447000; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 139 × 3583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,522,880

Proper Divisor Sum 2,040,547

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4482329 ← → #4482349

Radix Representation

Decimal	4482333
Binary	10001000110010100011101 (23 bits)
Octal	0o21062435
Hexadecimal	0x44651D

Divisor Catalog (12)

1 3 9 139 417 1,251 3,583 10,749 32,247 498,037 1,494,111 4,482,333

Collatz Trajectory (118 steps to reach 1)

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

4,482,333 13,447,000 6,723,500 3,361,750 1,680,875 5,042,626 2,521,313 7,563,940 3,781,970 1,890,985 5,672,956 2,836,478 1,418,239 4,254,718 2,127,359 6,382,078 3,191,039 9,573,118 4,786,559 14,359,678 7,179,839 21,539,518 10,769,759 32,309,278 16,154,639 48,463,918 24,231,959 72,695,878 36,347,939 109,043,818 54,521,909 163,565,728 81,782,864 40,891,432 20,445,716 10,222,858 5,111,429 15,334,288 7,667,144 3,833,572 1,916,786 958,393 2,875,180 1,437,590 718,795 2,156,386 1,078,193 3,234,580 1,617,290 808,645 2,425,936 1,212,968 606,484 303,242 151,621 454,864 227,432 113,716 56,858 28,429

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