λ
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Atlas › Integer Profiles › Node 11,626,404

11,626,404

22 × 3 × 19 × 50993
Abundant Even Composite

11,626,404 factors as 2^2 × 3 × 19 × 50993. Its 24 positive divisors give a proper-divisor sum of 16,930,236, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 50993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 28,556,640
Proper Divisor Sum 16,930,236
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #11626403 ← → #11626409

Radix Representation

Decimal 11626404
Binary 101100010110011110100100 (24 bits)
Octal 0o54263644
Hexadecimal 0xB167A4

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 50,993 101,986 152,979 203,972 305,958 611,916 968,867 1,937,734 2,906,601 3,875,468 5,813,202 11,626,404

Collatz Trajectory (109 steps to reach 1)

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

11,626,404 5,813,202 2,906,601 8,719,804 4,359,902 2,179,951 6,539,854 3,269,927 9,809,782 4,904,891 14,714,674 7,357,337 22,072,012 11,036,006 5,518,003 16,554,010 8,277,005 24,831,016 12,415,508 6,207,754 3,103,877 9,311,632 4,655,816 2,327,908 1,163,954 581,977 1,745,932 872,966 436,483 1,309,450 654,725 1,964,176 982,088 491,044 245,522 122,761 368,284 184,142 92,071 276,214 138,107 414,322 207,161 621,484 310,742 155,371 466,114 233,057 699,172 349,586 174,793 524,380 262,190 131,095 393,286 196,643 589,930 294,965 884,896 442,448

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