2,652,340

2² × 5 × 17 × 29 × 269

2,652,340 is even and not a perfect square. Its factorization is 2^2 × 5 × 17 × 29 × 269 and its 48 divisors sum to 6,123,600.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 29 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,123,600

Proper Divisor Sum 3,471,260

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2652313 ← → #2652367

Radix Representation

Decimal	2652340
Binary	1010000111100010110100 (22 bits)
Octal	0o12074264
Hexadecimal	0x2878B4

Divisor Catalog (48)

1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 269 290 340 493 538 580 986 1,076 1,345 1,972 2,465 2,690 4,573 4,930 5,380 7,801 9,146 9,860 15,602 18,292 22,865 31,204 39,005 45,730 78,010 91,460 132,617 156,020 265,234 530,468 663,085 1,326,170 2,652,340

Collatz Trajectory (143 steps to reach 1)

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

2,652,340 1,326,170 663,085 1,989,256 994,628 497,314 248,657 745,972 372,986 186,493 559,480 279,740 139,870 69,935 209,806 104,903 314,710 157,355 472,066 236,033 708,100 354,050 177,025 531,076 265,538 132,769 398,308 199,154 99,577 298,732 149,366 74,683 224,050 112,025 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804

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