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Atlas › Integer Profiles › Node 3,136,980

3,136,980

22 × 3 × 5 × 72 × 11 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7^2 × 11 × 97
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 11,261,376
Proper Divisor Sum 8,124,396
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3136961 ← → #3137003

Radix Representation

Decimal 3136980
Binary 1011111101110111010100 (22 bits)
Octal 0o13756724
Hexadecimal 0x2FDDD4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 97 98 105 110 132 140 147 154 165 194 196 210 220 231 245 291 294 308 330 385 388 420 462 485 490 539 582 588 660 679 735 770

Collatz Trajectory (71 steps to reach 1)

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

3,136,980 1,568,490 784,245 2,352,736 1,176,368 588,184 294,092 147,046 73,523 220,570 110,285 330,856 165,428 82,714 41,357 124,072 62,036 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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