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Atlas › Integer Profiles › Node 11,941,006

11,941,006

2 × 72 × 112 × 19 × 53
Abundant Even Composite

11,941,006 factors as 2 × 7^2 × 11^2 × 19 × 53. Its 72 positive divisors give a proper-divisor sum of 12,621,434, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11^2 × 19 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,562,440
Proper Divisor Sum 12,621,434
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #11941003 ← → #11941019

Radix Representation

Decimal 11941006
Binary 101101100011010010001110 (24 bits)
Octal 0o55432216
Hexadecimal 0xB6348E

Divisor Catalog (60 of 72)

1 2 7 11 14 19 22 38 49 53 77 98 106 121 133 154 209 242 266 371 418 539 583 742 847 931 1,007 1,078 1,166 1,463 1,694 1,862 2,014 2,299 2,597 2,926 4,081 4,598 5,194 5,929 6,413 7,049 8,162 10,241 11,077 11,858 12,826 14,098 16,093 20,482 22,154 28,567 32,186 44,891 49,343 57,134 77,539 89,782 98,686 112,651

Collatz Trajectory (215 steps to reach 1)

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

11,941,006 5,970,503 17,911,510 8,955,755 26,867,266 13,433,633 40,300,900 20,150,450 10,075,225 30,225,676 15,112,838 7,556,419 22,669,258 11,334,629 34,003,888 17,001,944 8,500,972 4,250,486 2,125,243 6,375,730 3,187,865 9,563,596 4,781,798 2,390,899 7,172,698 3,586,349 10,759,048 5,379,524 2,689,762 1,344,881 4,034,644 2,017,322 1,008,661 3,025,984 1,512,992 756,496 378,248 189,124 94,562 47,281 141,844 70,922 35,461 106,384 53,192 26,596 13,298 6,649 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626

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