2,766,960

2⁴ × 3⁴ × 5 × 7 × 61

2,766,960 is even and not a perfect square. Its factorization is 2^4 × 3^4 × 5 × 7 × 61 and its 200 divisors sum to 11,162,976.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 7 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 200

Divisor Sum (σ) 11,162,976

Proper Divisor Sum 8,396,016

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2766943 ← → #2766979

Radix Representation

Decimal	2766960
Binary	1010100011100001110000 (22 bits)
Octal	0o12434160
Hexadecimal	0x2A3870

Divisor Catalog (60 of 200)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 61 63 70 72 80 81 84 90 105 108 112 120 122 126 135 140 144 162 168 180 183 189 210 216 240 244 252 270 280 305

Collatz Trajectory (81 steps to reach 1)

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

2,766,960 1,383,480 691,740 345,870 172,935 518,806 259,403 778,210 389,105 1,167,316 583,658 291,829 875,488 437,744 218,872 109,436 54,718 27,359 82,078 41,039 123,118 61,559 184,678 92,339 277,018 138,509 415,528 207,764 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490

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