767,340

2² × 3³ × 5 × 7² × 29

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7^2 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 2,872,800

Proper Divisor Sum 2,105,460

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #767339 ← → #767357

Radix Representation

Decimal	767340
Binary	10111011010101101100 (20 bits)
Octal	0o2732554
Hexadecimal	0xBB56C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 29 30 35 36 42 45 49 54 58 60 63 70 84 87 90 98 105 108 116 126 135 140 145 147 174 180 189 196 203 210 245 252 261 270 290 294 315 348 378 406 420 435 441

Collatz Trajectory (193 steps to reach 1)

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

767,340 383,670 191,835 575,506 287,753 863,260 431,630 215,815 647,446 323,723 971,170 485,585 1,456,756 728,378 364,189 1,092,568 546,284 273,142 136,571 409,714 204,857 614,572 307,286 153,643 460,930 230,465 691,396 345,698 172,849 518,548 259,274 129,637 388,912 194,456 97,228 48,614 24,307 72,922 36,461 109,384 54,692 27,346 13,673 41,020 20,510 10,255 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868

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