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Atlas › Integer Profiles › Node 49,136,142

49,136,142

2 × 3 × 11 × 23 × 32369
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 23 × 32369
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 111,870,720
Proper Divisor Sum 62,734,578
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #49136117 ← → #49136149

Radix Representation

Decimal 49136142
Binary 10111011011100001000001110 (26 bits)
Octal 0o273341016
Hexadecimal 0x2EDC20E

Divisor Catalog (32)

1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1,518 32,369 64,738 97,107 194,214 356,059 712,118 744,487 1,068,177 1,488,974 2,136,354 2,233,461 4,466,922 8,189,357 16,378,714 24,568,071 49,136,142

Collatz Trajectory (168 steps to reach 1)

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

49,136,142 24,568,071 73,704,214 36,852,107 110,556,322 55,278,161 165,834,484 82,917,242 41,458,621 124,375,864 62,187,932 31,093,966 15,546,983 46,640,950 23,320,475 69,961,426 34,980,713 104,942,140 52,471,070 26,235,535 78,706,606 39,353,303 118,059,910 59,029,955 177,089,866 88,544,933 265,634,800 132,817,400 66,408,700 33,204,350 16,602,175 49,806,526 24,903,263 74,709,790 37,354,895 112,064,686 56,032,343 168,097,030 84,048,515 252,145,546 126,072,773 378,218,320 189,109,160 94,554,580 47,277,290 23,638,645 70,915,936 35,457,968 17,728,984 8,864,492 4,432,246 2,216,123 6,648,370 3,324,185 9,972,556 4,986,278 2,493,139 7,479,418 3,739,709 11,219,128

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