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Atlas › Integer Profiles › Node 2,811,360

2,811,360

25 × 3 × 5 × 5857
Abundant Even Composite

2,811,360 factors as 2^5 × 3 × 5 × 5857. Its 48 positive divisors give a proper-divisor sum of 6,045,936, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 5857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,857,296
Proper Divisor Sum 6,045,936
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2811353 ← → #2811379

Radix Representation

Decimal 2811360
Binary 1010101110010111100000 (22 bits)
Octal 0o12562740
Hexadecimal 0x2AE5E0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5,857 11,714 17,571 23,428 29,285 35,142 46,856 58,570 70,284 87,855 93,712 117,140 140,568 175,710 187,424 234,280 281,136 351,420 468,560 562,272 702,840 937,120 1,405,680 2,811,360

Collatz Trajectory (156 steps to reach 1)

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

2,811,360 1,405,680 702,840 351,420 175,710 87,855 263,566 131,783 395,350 197,675 593,026 296,513 889,540 444,770 222,385 667,156 333,578 166,789 500,368 250,184 125,092 62,546 31,273 93,820 46,910 23,455 70,366 35,183 105,550 52,775 158,326 79,163 237,490 118,745 356,236 178,118 89,059 267,178 133,589 400,768 200,384 100,192 50,096 25,048 12,524 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974

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