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Atlas › Integer Profiles › Node 2,188,288

2,188,288

210 × 2137
Deficient Even Composite

Prime Factor Structure

Factorization String 2^10 × 2137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 22
Divisor Sum (σ) 4,376,486
Proper Divisor Sum 2,188,198
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2188283 ← → #2188297

Radix Representation

Decimal 2188288
Binary 1000010110010000000000 (22 bits)
Octal 0o10262000
Hexadecimal 0x216400

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 2,137 4,274 8,548 17,096 34,192 68,384 136,768 273,536 547,072 1,094,144 2,188,288

Collatz Trajectory (73 steps to reach 1)

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

2,188,288 1,094,144 547,072 273,536 136,768 68,384 34,192 17,096 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 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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