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Atlas › Integer Profiles › Node 11,040,590

11,040,590

2 × 5 × 11 × 29 × 3461
Abundant Even Composite

11,040,590 factors as 2 × 5 × 11 × 29 × 3461. Its 32 positive divisors give a proper-divisor sum of 11,393,170, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 29 × 3461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,433,760
Proper Divisor Sum 11,393,170
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #11040587 ← → #11040647

Radix Representation

Decimal 11040590
Binary 101010000111011101001110 (24 bits)
Octal 0o52073516
Hexadecimal 0xA8774E

Divisor Catalog (32)

1 2 5 10 11 22 29 55 58 110 145 290 319 638 1,595 3,190 3,461 6,922 17,305 34,610 38,071 76,142 100,369 190,355 200,738 380,710 501,845 1,003,690 1,104,059 2,208,118 5,520,295 11,040,590

Collatz Trajectory (202 steps to reach 1)

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

11,040,590 5,520,295 16,560,886 8,280,443 24,841,330 12,420,665 37,261,996 18,630,998 9,315,499 27,946,498 13,973,249 41,919,748 20,959,874 10,479,937 31,439,812 15,719,906 7,859,953 23,579,860 11,789,930 5,894,965 17,684,896 8,842,448 4,421,224 2,210,612 1,105,306 552,653 1,657,960 828,980 414,490 207,245 621,736 310,868 155,434 77,717 233,152 116,576 58,288 29,144 14,572 7,286 3,643 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948

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