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Atlas › Integer Profiles › Node 2,500,784

2,500,784

24 × 11 × 13 × 1093
Abundant Even Composite

2,500,784 is even and not a perfect square. Its factorization is 2^4 × 11 × 13 × 1093 and its 40 divisors sum to 5,697,552.

Prime Factor Structure

Factorization String 2^4 × 11 × 13 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,697,552
Proper Divisor Sum 3,196,768
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2500783 ← → #2500807

Radix Representation

Decimal 2500784
Binary 1001100010100010110000 (22 bits)
Octal 0o11424260
Hexadecimal 0x2628B0

Divisor Catalog (40)

1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1,093 1,144 2,186 2,288 4,372 8,744 12,023 14,209 17,488 24,046 28,418 48,092 56,836 96,184 113,672 156,299 192,368 227,344 312,598 625,196 1,250,392 2,500,784

Collatz Trajectory (55 steps to reach 1)

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

2,500,784 1,250,392 625,196 312,598 156,299 468,898 234,449 703,348 351,674 175,837 527,512 263,756 131,878 65,939 197,818 98,909 296,728 148,364 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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