λ
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Atlas › Integer Profiles › Node 19,968,096

19,968,096

25 × 3 × 208001
Abundant Even Composite

19,968,096 factors as 2^5 × 3 × 208001. Its 24 positive divisors give a proper-divisor sum of 32,448,408, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 208001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 52,416,504
Proper Divisor Sum 32,448,408
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #19968079 ← → #19968097

Radix Representation

Decimal 19968096
Binary 1001100001011000001100000 (25 bits)
Octal 0o114130140
Hexadecimal 0x130B060

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 208,001 416,002 624,003 832,004 1,248,006 1,664,008 2,496,012 3,328,016 4,992,024 6,656,032 9,984,048 19,968,096

Collatz Trajectory (58 steps to reach 1)

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

19,968,096 9,984,048 4,992,024 2,496,012 1,248,006 624,003 1,872,010 936,005 2,808,016 1,404,008 702,004 351,002 175,501 526,504 263,252 131,626 65,813 197,440 98,720 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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