383,412

2² × 3 × 89 × 359

Starting at 383,412, the Collatz iteration reaches 1 after 99 steps. The first transition is 191706; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 907,200

Proper Divisor Sum 523,788

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #383399 ← → #383417

Radix Representation

Decimal	383412
Binary	1011101100110110100 (19 bits)
Octal	0o1354664
Hexadecimal	0x5D9B4

Divisor Catalog (24)

1 2 3 4 6 12 89 178 267 356 359 534 718 1,068 1,077 1,436 2,154 4,308 31,951 63,902 95,853 127,804 191,706 383,412

Collatz Trajectory (99 steps to reach 1)

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

383,412 191,706 95,853 287,560 143,780 71,890 35,945 107,836 53,918 26,959 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406

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