392,118

2 × 3 × 65353

Starting at 392,118, the Collatz iteration reaches 1 after 192 steps. The first transition is 196059; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 65353

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 784,248

Proper Divisor Sum 392,130

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #392113 ← → #392131

Radix Representation

Decimal	392118
Binary	1011111101110110110 (19 bits)
Octal	0o1375666
Hexadecimal	0x5FBB6

Divisor Catalog (8)

1 2 3 6 65,353 130,706 196,059 392,118

Collatz Trajectory (192 steps to reach 1)

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

392,118 196,059 588,178 294,089 882,268 441,134 220,567 661,702 330,851 992,554 496,277 1,488,832 744,416 372,208 186,104 93,052 46,526 23,263 69,790 34,895 104,686 52,343 157,030 78,515 235,546 117,773 353,320 176,660 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415

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