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Atlas › Integer Profiles › Node 2,969,736

2,969,736

23 × 3 × 7 × 11 × 1607
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 1607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,262,080
Proper Divisor Sum 6,292,344
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2969723 ← → #2969741

Radix Representation

Decimal 2969736
Binary 1011010101000010001000 (22 bits)
Octal 0o13250210
Hexadecimal 0x2D5088

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1,607 1,848 3,214 4,821 6,428 9,642 11,249 12,856 17,677 19,284 22,498 33,747 35,354 38,568 44,996 53,031 67,494 70,708 89,992 106,062 123,739 134,988 141,416 212,124 247,478 269,976 371,217 424,248 494,956

Collatz Trajectory (151 steps to reach 1)

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

2,969,736 1,484,868 742,434 371,217 1,113,652 556,826 278,413 835,240 417,620 208,810 104,405 313,216 156,608 78,304 39,152 19,576 9,788 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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