20,008,513

7² × 408337

20,008,513 factors as 7^2 × 408337. Its 6 positive divisors give a proper-divisor sum of 3,266,753, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 7^2 × 408337

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 23,275,266

Proper Divisor Sum 3,266,753

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #20008487 ← → #20008523

Radix Representation

Decimal	20008513
Binary	1001100010100111001000001 (25 bits)
Octal	0o114247101
Hexadecimal	0x1314E41

Divisor Catalog (6)

1 7 49 408,337 2,858,359 20,008,513

Collatz Trajectory (177 steps to reach 1)

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

20,008,513 60,025,540 30,012,770 15,006,385 45,019,156 22,509,578 11,254,789 33,764,368 16,882,184 8,441,092 4,220,546 2,110,273 6,330,820 3,165,410 1,582,705 4,748,116 2,374,058 1,187,029 3,561,088 1,780,544 890,272 445,136 222,568 111,284 55,642 27,821 83,464 41,732 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589

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