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Atlas › Integer Profiles › Node 14,800,166

14,800,166

2 × 17 × 67 × 73 × 89
Deficient Even Composite

14,800,166 factors as 2 × 17 × 67 × 73 × 89. Its 32 positive divisors give a proper-divisor sum of 9,655,354, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 17 × 67 × 73 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,455,520
Proper Divisor Sum 9,655,354
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #14800157 ← → #14800169

Radix Representation

Decimal 14800166
Binary 111000011101010100100110 (24 bits)
Octal 0o70352446
Hexadecimal 0xE1D526

Divisor Catalog (32)

1 2 17 34 67 73 89 134 146 178 1,139 1,241 1,513 2,278 2,482 3,026 4,891 5,963 6,497 9,782 11,926 12,994 83,147 101,371 110,449 166,294 202,742 220,898 435,299 870,598 7,400,083 14,800,166

Collatz Trajectory (112 steps to reach 1)

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

14,800,166 7,400,083 22,200,250 11,100,125 33,300,376 16,650,188 8,325,094 4,162,547 12,487,642 6,243,821 18,731,464 9,365,732 4,682,866 2,341,433 7,024,300 3,512,150 1,756,075 5,268,226 2,634,113 7,902,340 3,951,170 1,975,585 5,926,756 2,963,378 1,481,689 4,445,068 2,222,534 1,111,267 3,333,802 1,666,901 5,000,704 2,500,352 1,250,176 625,088 312,544 156,272 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609

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