2,762,025

3 × 5² × 7 × 5261

2,762,025 is odd and not a perfect square. Its factorization is 3 × 5^2 × 7 × 5261 and its 24 divisors sum to 5,219,904.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 5261

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,219,904

Proper Divisor Sum 2,457,879

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2762009 ← → #2762027

Radix Representation

Decimal	2762025
Binary	1010100010010100101001 (22 bits)
Octal	0o12422451
Hexadecimal	0x2A2529

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 5,261 15,783 26,305 36,827 78,915 110,481 131,525 184,135 394,575 552,405 920,675 2,762,025

Collatz Trajectory (262 steps to reach 1)

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

2,762,025 8,286,076 4,143,038 2,071,519 6,214,558 3,107,279 9,321,838 4,660,919 13,982,758 6,991,379 20,974,138 10,487,069 31,461,208 15,730,604 7,865,302 3,932,651 11,797,954 5,898,977 17,696,932 8,848,466 4,424,233 13,272,700 6,636,350 3,318,175 9,954,526 4,977,263 14,931,790 7,465,895 22,397,686 11,198,843 33,596,530 16,798,265 50,394,796 25,197,398 12,598,699 37,796,098 18,898,049 56,694,148 28,347,074 14,173,537 42,520,612 21,260,306 10,630,153 31,890,460 15,945,230 7,972,615 23,917,846 11,958,923 35,876,770 17,938,385 53,815,156 26,907,578 13,453,789 40,361,368 20,180,684 10,090,342 5,045,171 15,135,514 7,567,757 22,703,272

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