536,760

2³ × 3³ × 5 × 7 × 71

536,760 factors as 2^3 × 3^3 × 5 × 7 × 71. Its 128 positive divisors give a proper-divisor sum of 1,536,840, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 7 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 2,073,600

Proper Divisor Sum 1,536,840

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #536749 ← → #536771

Radix Representation

Decimal	536760
Binary	10000011000010111000 (20 bits)
Octal	0o2030270
Hexadecimal	0x830B8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 71 72 84 90 105 108 120 126 135 140 142 168 180 189 210 213 216 252 270 280 284 315 355 360 378 420 426 497 504 540

Collatz Trajectory (164 steps to reach 1)

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

536,760 268,380 134,190 67,095 201,286 100,643 301,930 150,965 452,896 226,448 113,224 56,612 28,306 14,153 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95

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