2,998,375

5³ × 17² × 83

2,998,375 has the prime decomposition 5^3 × 17^2 × 83. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 17^2 × 83

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,022,928

Proper Divisor Sum 1,024,553

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #2998363 ← → #2998381

Radix Representation

Decimal	2998375
Binary	1011011100000001100111 (22 bits)
Octal	0o13340147
Hexadecimal	0x2DC067

Divisor Catalog (24)

1 5 17 25 83 85 125 289 415 425 1,411 1,445 2,075 2,125 7,055 7,225 10,375 23,987 35,275 36,125 119,935 176,375 599,675 2,998,375

Collatz Trajectory (120 steps to reach 1)

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

2,998,375 8,995,126 4,497,563 13,492,690 6,746,345 20,239,036 10,119,518 5,059,759 15,179,278 7,589,639 22,768,918 11,384,459 34,153,378 17,076,689 51,230,068 25,615,034 12,807,517 38,422,552 19,211,276 9,605,638 4,802,819 14,408,458 7,204,229 21,612,688 10,806,344 5,403,172 2,701,586 1,350,793 4,052,380 2,026,190 1,013,095 3,039,286 1,519,643 4,558,930 2,279,465 6,838,396 3,419,198 1,709,599 5,128,798 2,564,399 7,693,198 3,846,599 11,539,798 5,769,899 17,309,698 8,654,849 25,964,548 12,982,274 6,491,137 19,473,412 9,736,706 4,868,353 14,605,060 7,302,530 3,651,265 10,953,796 5,476,898 2,738,449 8,215,348 4,107,674

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