293,046

2 × 3 × 13² × 17²

293,046 has digital root 6. The neighboring primes are 293021 and 293071; its proper-divisor sum differs from the starting integer by 88,080.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 674,172

Proper Divisor Sum 381,126

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #293021 ← → #293071

Radix Representation

Decimal	293046
Binary	1000111100010110110 (19 bits)
Octal	0o1074266
Hexadecimal	0x478B6

Divisor Catalog (36)

1 2 3 6 13 17 26 34 39 51 78 102 169 221 289 338 442 507 578 663 867 1,014 1,326 1,734 2,873 3,757 5,746 7,514 8,619 11,271 17,238 22,542 48,841 97,682 146,523 293,046

Collatz Trajectory (70 steps to reach 1)

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

293,046 146,523 439,570 219,785 659,356 329,678 164,839 494,518 247,259 741,778 370,889 1,112,668 556,334 278,167 834,502 417,251 1,251,754 625,877 1,877,632 938,816 469,408 234,704 117,352 58,676 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53

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