784,404

2² × 3⁶ × 269

Starting at 784,404, the Collatz iteration reaches 1 after 162 steps. The first transition is 392202; the starting value is even with 42 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^6 × 269

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 2,065,770

Proper Divisor Sum 1,281,366

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #784387 ← → #784409

Radix Representation

Decimal	784404
Binary	10111111100000010100 (20 bits)
Octal	0o2774024
Hexadecimal	0xBF814

Divisor Catalog (42)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 269 324 486 538 729 807 972 1,076 1,458 1,614 2,421 2,916 3,228 4,842 7,263 9,684 14,526 21,789 29,052 43,578 65,367 87,156 130,734 196,101 261,468 392,202 784,404

Collatz Trajectory (162 steps to reach 1)

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

784,404 392,202 196,101 588,304 294,152 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142

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