263,646

2 × 3² × 97 × 151

263,646 has digital root 9. The neighboring primes are 263621 and 263647; its proper-divisor sum differs from the starting integer by 53,652.

Prime Factor Structure

Factorization String 2 × 3^2 × 97 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 580,944

Proper Divisor Sum 317,298

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #263621 ← → #263647

Radix Representation

Decimal	263646
Binary	1000000010111011110 (19 bits)
Octal	0o1002736
Hexadecimal	0x405DE

Divisor Catalog (24)

1 2 3 6 9 18 97 151 194 291 302 453 582 873 906 1,359 1,746 2,718 14,647 29,294 43,941 87,882 131,823 263,646

Collatz Trajectory (150 steps to reach 1)

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

263,646 131,823 395,470 197,735 593,206 296,603 889,810 444,905 1,334,716 667,358 333,679 1,001,038 500,519 1,501,558 750,779 2,252,338 1,126,169 3,378,508 1,689,254 844,627 2,533,882 1,266,941 3,800,824 1,900,412 950,206 475,103 1,425,310 712,655 2,137,966 1,068,983 3,206,950 1,603,475 4,810,426 2,405,213 7,215,640 3,607,820 1,803,910 901,955 2,705,866 1,352,933 4,058,800 2,029,400 1,014,700 507,350 253,675 761,026 380,513 1,141,540 570,770 285,385 856,156 428,078 214,039 642,118 321,059 963,178 481,589 1,444,768 722,384 361,192

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