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Atlas › Integer Profiles › Node 14,296,984

14,296,984

23 × 13 × 23 × 43 × 139
Abundant Even Composite

14,296,984 factors as 2^3 × 13 × 23 × 43 × 139. Its 64 positive divisors give a proper-divisor sum of 16,749,416, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 43 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 31,046,400
Proper Divisor Sum 16,749,416
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #14296979 ← → #14296991

Radix Representation

Decimal 14296984
Binary 110110100010011110011000 (24 bits)
Octal 0o66423630
Hexadecimal 0xDA2798

Divisor Catalog (60 of 64)

1 2 4 8 13 23 26 43 46 52 86 92 104 139 172 184 278 299 344 556 559 598 989 1,112 1,118 1,196 1,807 1,978 2,236 2,392 3,197 3,614 3,956 4,472 5,977 6,394 7,228 7,912 11,954 12,788 12,857 14,456 23,908 25,576 25,714 41,561 47,816 51,428 77,701 83,122 102,856 137,471 155,402 166,244 274,942 310,804 332,488 549,884 621,608 1,099,768

Collatz Trajectory (99 steps to reach 1)

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

14,296,984 7,148,492 3,574,246 1,787,123 5,361,370 2,680,685 8,042,056 4,021,028 2,010,514 1,005,257 3,015,772 1,507,886 753,943 2,261,830 1,130,915 3,392,746 1,696,373 5,089,120 2,544,560 1,272,280 636,140 318,070 159,035 477,106 238,553 715,660 357,830 178,915 536,746 268,373 805,120 402,560 201,280 100,640 50,320 25,160 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521

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