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Atlas › Integer Profiles › Node 2,201,024

2,201,024

26 × 7 × 173
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 17^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,303,520
Proper Divisor Sum 3,102,496
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2200997 ← → #2201033

Radix Representation

Decimal 2201024
Binary 1000011001010111000000 (22 bits)
Octal 0o10312700
Hexadecimal 0x2195C0

Divisor Catalog (56)

1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 289 448 476 544 578 952 1,088 1,156 1,904 2,023 2,312 3,808 4,046 4,624 4,913 7,616 8,092 9,248 9,826 16,184 18,496 19,652 32,368 34,391 39,304 64,736 68,782 78,608 129,472 137,564 157,216 275,128 314,432 550,256 1,100,512 2,201,024

Collatz Trajectory (73 steps to reach 1)

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

2,201,024 1,100,512 550,256 275,128 137,564 68,782 34,391 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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