2,506,725

3² × 5² × 13 × 857

2,506,725 is odd and not a perfect square. Its factorization is 3^2 × 5^2 × 13 × 857 and its 36 divisors sum to 4,840,836.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,840,836

Proper Divisor Sum 2,334,111

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2506723 ← → #2506729

Radix Representation

Decimal	2506725
Binary	1001100011111111100101 (22 bits)
Octal	0o11437745
Hexadecimal	0x263FE5

Divisor Catalog (36)

1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 857 975 2,571 2,925 4,285 7,713 11,141 12,855 21,425 33,423 38,565 55,705 64,275 100,269 167,115 192,825 278,525 501,345 835,575 2,506,725

Collatz Trajectory (218 steps to reach 1)

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

2,506,725 7,520,176 3,760,088 1,880,044 940,022 470,011 1,410,034 705,017 2,115,052 1,057,526 528,763 1,586,290 793,145 2,379,436 1,189,718 594,859 1,784,578 892,289 2,676,868 1,338,434 669,217 2,007,652 1,003,826 501,913 1,505,740 752,870 376,435 1,129,306 564,653 1,693,960 846,980 423,490 211,745 635,236 317,618 158,809 476,428 238,214 119,107 357,322 178,661 535,984 267,992 133,996 66,998 33,499 100,498 50,249 150,748 75,374 37,687 113,062 56,531 169,594 84,797 254,392 127,196 63,598 31,799 95,398

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