414,426

2 × 3 × 17² × 239

414,426 has the prime decomposition 2 × 3 × 17^2 × 239. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17^2 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 884,160

Proper Divisor Sum 469,734

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #414413 ← → #414431

Radix Representation

Decimal	414426
Binary	1100101001011011010 (19 bits)
Octal	0o1451332
Hexadecimal	0x652DA

Divisor Catalog (24)

1 2 3 6 17 34 51 102 239 289 478 578 717 867 1,434 1,734 4,063 8,126 12,189 24,378 69,071 138,142 207,213 414,426

Collatz Trajectory (112 steps to reach 1)

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

414,426 207,213 621,640 310,820 155,410 77,705 233,116 116,558 58,279 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386 19,693 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632

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