929,928

2³ × 3 × 38747

Starting at 929,928, the Collatz iteration reaches 1 after 170 steps. The first transition is 464964; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 38747

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,324,880

Proper Divisor Sum 1,394,952

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #929897 ← → #929941

Radix Representation

Decimal	929928
Binary	11100011000010001000 (20 bits)
Octal	0o3430210
Hexadecimal	0xE3088

Divisor Catalog (16)

1 2 3 4 6 8 12 24 38,747 77,494 116,241 154,988 232,482 309,976 464,964 929,928

Collatz Trajectory (170 steps to reach 1)

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

929,928 464,964 232,482 116,241 348,724 174,362 87,181 261,544 130,772 65,386 32,693 98,080 49,040 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166

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