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Atlas › Integer Profiles › Node 20,009,275

20,009,275

52 × 11 × 13 × 29 × 193
Deficient Odd Composite

20,009,275 factors as 5^2 × 11 × 13 × 29 × 193. Its 48 positive divisors give a proper-divisor sum of 10,301,285, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 13 × 29 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,310,560
Proper Divisor Sum 10,301,285
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #20009273 ← → #20009279

Radix Representation

Decimal 20009275
Binary 1001100010101000100111011 (25 bits)
Octal 0o114250473
Hexadecimal 0x131513B

Divisor Catalog (48)

1 5 11 13 25 29 55 65 143 145 193 275 319 325 377 715 725 965 1,595 1,885 2,123 2,509 3,575 4,147 4,825 5,597 7,975 9,425 10,615 12,545 20,735 27,599 27,985 53,075 61,567 62,725 72,761 103,675 137,995 139,925 307,835 363,805 689,975 800,371 1,539,175 1,819,025 4,001,855 20,009,275

Collatz Trajectory (177 steps to reach 1)

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

20,009,275 60,027,826 30,013,913 90,041,740 45,020,870 22,510,435 67,531,306 33,765,653 101,296,960 50,648,480 25,324,240 12,662,120 6,331,060 3,165,530 1,582,765 4,748,296 2,374,148 1,187,074 593,537 1,780,612 890,306 445,153 1,335,460 667,730 333,865 1,001,596 500,798 250,399 751,198 375,599 1,126,798 563,399 1,690,198 845,099 2,535,298 1,267,649 3,802,948 1,901,474 950,737 2,852,212 1,426,106 713,053 2,139,160 1,069,580 534,790 267,395 802,186 401,093 1,203,280 601,640 300,820 150,410 75,205 225,616 112,808 56,404 28,202 14,101 42,304 21,152

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