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Atlas › Integer Profiles › Node 20,504,032

20,504,032

25 × 47 × 13633
Abundant Even Composite

20,504,032 factors as 2^5 × 47 × 13633. Its 24 positive divisors give a proper-divisor sum of 20,725,184, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^5 × 47 × 13633
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 41,229,216
Proper Divisor Sum 20,725,184
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20504009 ← → #20504053

Radix Representation

Decimal 20504032
Binary 1001110001101110111100000 (25 bits)
Octal 0o116156740
Hexadecimal 0x138DDE0

Divisor Catalog (24)

1 2 4 8 16 32 47 94 188 376 752 1,504 13,633 27,266 54,532 109,064 218,128 436,256 640,751 1,281,502 2,563,004 5,126,008 10,252,016 20,504,032

Collatz Trajectory (115 steps to reach 1)

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

20,504,032 10,252,016 5,126,008 2,563,004 1,281,502 640,751 1,922,254 961,127 2,883,382 1,441,691 4,325,074 2,162,537 6,487,612 3,243,806 1,621,903 4,865,710 2,432,855 7,298,566 3,649,283 10,947,850 5,473,925 16,421,776 8,210,888 4,105,444 2,052,722 1,026,361 3,079,084 1,539,542 769,771 2,309,314 1,154,657 3,463,972 1,731,986 865,993 2,597,980 1,298,990 649,495 1,948,486 974,243 2,922,730 1,461,365 4,384,096 2,192,048 1,096,024 548,012 274,006 137,003 411,010 205,505 616,516 308,258 154,129 462,388 231,194 115,597 346,792 173,396 86,698 43,349 130,048

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