492,534

2 × 3³ × 7 × 1303

Starting at 492,534, the Collatz iteration reaches 1 after 182 steps. The first transition is 246267; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 1303

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,251,840

Proper Divisor Sum 759,306

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #492523 ← → #492551

Radix Representation

Decimal	492534
Binary	1111000001111110110 (19 bits)
Octal	0o1701766
Hexadecimal	0x783F6

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1,303 2,606 3,909 7,818 9,121 11,727 18,242 23,454 27,363 35,181 54,726 70,362 82,089 164,178 246,267 492,534

Collatz Trajectory (182 steps to reach 1)

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

492,534 246,267 738,802 369,401 1,108,204 554,102 277,051 831,154 415,577 1,246,732 623,366 311,683 935,050 467,525 1,402,576 701,288 350,644 175,322 87,661 262,984 131,492 65,746 32,873 98,620 49,310 24,655 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702 5,851 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125

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