λ
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Atlas › Integer Profiles › Node 14,647,024

14,647,024

24 × 7 × 19 × 6883
Abundant Even Composite

14,647,024 factors as 2^4 × 7 × 19 × 6883. Its 40 positive divisors give a proper-divisor sum of 19,497,616, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 6883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 34,144,640
Proper Divisor Sum 19,497,616
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #14647007 ← → #14647049

Radix Representation

Decimal 14647024
Binary 110111110111111011110000 (24 bits)
Octal 0o67677360
Hexadecimal 0xDF7EF0

Divisor Catalog (40)

1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1,064 2,128 6,883 13,766 27,532 48,181 55,064 96,362 110,128 130,777 192,724 261,554 385,448 523,108 770,896 915,439 1,046,216 1,830,878 2,092,432 3,661,756 7,323,512 14,647,024

Collatz Trajectory (205 steps to reach 1)

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

14,647,024 7,323,512 3,661,756 1,830,878 915,439 2,746,318 1,373,159 4,119,478 2,059,739 6,179,218 3,089,609 9,268,828 4,634,414 2,317,207 6,951,622 3,475,811 10,427,434 5,213,717 15,641,152 7,820,576 3,910,288 1,955,144 977,572 488,786 244,393 733,180 366,590 183,295 549,886 274,943 824,830 412,415 1,237,246 618,623 1,855,870 927,935 2,783,806 1,391,903 4,175,710 2,087,855 6,263,566 3,131,783 9,395,350 4,697,675 14,093,026 7,046,513 21,139,540 10,569,770 5,284,885 15,854,656 7,927,328 3,963,664 1,981,832 990,916 495,458 247,729 743,188 371,594 185,797 557,392

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