λ
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Atlas › Integer Profiles › Node 13,946,686

13,946,686

2 × 13 × 47 × 101 × 113
Deficient Even Composite

13,946,686 factors as 2 × 13 × 47 × 101 × 113. Its 32 positive divisors give a proper-divisor sum of 9,495,362, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 13 × 47 × 101 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,442,048
Proper Divisor Sum 9,495,362
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #13946657 ← → #13946687

Radix Representation

Decimal 13946686
Binary 110101001100111100111110 (24 bits)
Octal 0o65147476
Hexadecimal 0xD4CF3E

Divisor Catalog (32)

1 2 13 26 47 94 101 113 202 226 611 1,222 1,313 1,469 2,626 2,938 4,747 5,311 9,494 10,622 11,413 22,826 61,711 69,043 123,422 138,086 148,369 296,738 536,411 1,072,822 6,973,343 13,946,686

Collatz Trajectory (161 steps to reach 1)

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

13,946,686 6,973,343 20,920,030 10,460,015 31,380,046 15,690,023 47,070,070 23,535,035 70,605,106 35,302,553 105,907,660 52,953,830 26,476,915 79,430,746 39,715,373 119,146,120 59,573,060 29,786,530 14,893,265 44,679,796 22,339,898 11,169,949 33,509,848 16,754,924 8,377,462 4,188,731 12,566,194 6,283,097 18,849,292 9,424,646 4,712,323 14,136,970 7,068,485 21,205,456 10,602,728 5,301,364 2,650,682 1,325,341 3,976,024 1,988,012 994,006 497,003 1,491,010 745,505 2,236,516 1,118,258 559,129 1,677,388 838,694 419,347 1,258,042 629,021 1,887,064 943,532 471,766 235,883 707,650 353,825 1,061,476 530,738

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