20,008,375

5³ × 59 × 2713

20,008,375 factors as 5^3 × 59 × 2713. Its 16 positive divisors give a proper-divisor sum of 5,394,665, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 5^3 × 59 × 2713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,403,040

Proper Divisor Sum 5,394,665

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #20008343 ← → #20008381

Radix Representation

Decimal	20008375
Binary	1001100010100110110110111 (25 bits)
Octal	0o114246667
Hexadecimal	0x1314DB7

Divisor Catalog (16)

1 5 25 59 125 295 1,475 2,713 7,375 13,565 67,825 160,067 339,125 800,335 4,001,675 20,008,375

Collatz Trajectory (115 steps to reach 1)

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

20,008,375 60,025,126 30,012,563 90,037,690 45,018,845 135,056,536 67,528,268 33,764,134 16,882,067 50,646,202 25,323,101 75,969,304 37,984,652 18,992,326 9,496,163 28,488,490 14,244,245 42,732,736 21,366,368 10,683,184 5,341,592 2,670,796 1,335,398 667,699 2,003,098 1,001,549 3,004,648 1,502,324 751,162 375,581 1,126,744 563,372 281,686 140,843 422,530 211,265 633,796 316,898 158,449 475,348 237,674 118,837 356,512 178,256 89,128 44,564 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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