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Atlas › Integer Profiles › Node 11,348,196

11,348,196

22 × 3 × 37 × 61 × 419
Abundant Even Composite

11,348,196 factors as 2^2 × 3 × 37 × 61 × 419. Its 48 positive divisors give a proper-divisor sum of 16,358,364, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 61 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,706,560
Proper Divisor Sum 16,358,364
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #11348191 ← → #11348203

Radix Representation

Decimal 11348196
Binary 101011010010100011100100 (24 bits)
Octal 0o53224344
Hexadecimal 0xAD28E4

Divisor Catalog (48)

1 2 3 4 6 12 37 61 74 111 122 148 183 222 244 366 419 444 732 838 1,257 1,676 2,257 2,514 4,514 5,028 6,771 9,028 13,542 15,503 25,559 27,084 31,006 46,509 51,118 62,012 76,677 93,018 102,236 153,354 186,036 306,708 945,683 1,891,366 2,837,049 3,782,732 5,674,098 11,348,196

Collatz Trajectory (277 steps to reach 1)

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

11,348,196 5,674,098 2,837,049 8,511,148 4,255,574 2,127,787 6,383,362 3,191,681 9,575,044 4,787,522 2,393,761 7,181,284 3,590,642 1,795,321 5,385,964 2,692,982 1,346,491 4,039,474 2,019,737 6,059,212 3,029,606 1,514,803 4,544,410 2,272,205 6,816,616 3,408,308 1,704,154 852,077 2,556,232 1,278,116 639,058 319,529 958,588 479,294 239,647 718,942 359,471 1,078,414 539,207 1,617,622 808,811 2,426,434 1,213,217 3,639,652 1,819,826 909,913 2,729,740 1,364,870 682,435 2,047,306 1,023,653 3,070,960 1,535,480 767,740 383,870 191,935 575,806 287,903 863,710 431,855

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