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20,480,512

29 × 13 × 17 × 181
Abundant Even Composite

20,480,512 factors as 2^9 × 13 × 17 × 181. Its 80 positive divisors give a proper-divisor sum of 26,438,360, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^9 × 13 × 17 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 46,918,872
Proper Divisor Sum 26,438,360
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #20480503 ← → #20480519

Radix Representation

Decimal 20480512
Binary 1001110001000001000000000 (25 bits)
Octal 0o116101000
Hexadecimal 0x1388200

Divisor Catalog (60 of 80)

1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 181 208 221 256 272 362 416 442 512 544 724 832 884 1,088 1,448 1,664 1,768 2,176 2,353 2,896 3,077 3,328 3,536 4,352 4,706 5,792 6,154 6,656 7,072 8,704 9,412 11,584 12,308 14,144 18,824 23,168 24,616 28,288 37,648 40,001 46,336 49,232 56,576 75,296

Collatz Trajectory (177 steps to reach 1)

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

20,480,512 10,240,256 5,120,128 2,560,064 1,280,032 640,016 320,008 160,004 80,002 40,001 120,004 60,002 30,001 90,004 45,002 22,501 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688

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