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Atlas › Integer Profiles › Node 3,208,192

3,208,192

210 × 13 × 241
Abundant Even Composite

Prime Factor Structure

Factorization String 2^10 × 13 × 241
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 6,935,236
Proper Divisor Sum 3,727,044
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3208151 ← → #3208193

Radix Representation

Decimal 3208192
Binary 1100001111010000000000 (22 bits)
Octal 0o14172000
Hexadecimal 0x30F400

Divisor Catalog (44)

1 2 4 8 13 16 26 32 52 64 104 128 208 241 256 416 482 512 832 964 1,024 1,664 1,928 3,133 3,328 3,856 6,266 6,656 7,712 12,532 13,312 15,424 25,064 30,848 50,128 61,696 100,256 123,392 200,512 246,784 401,024 802,048 1,604,096 3,208,192

Collatz Trajectory (133 steps to reach 1)

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

3,208,192 1,604,096 802,048 401,024 200,512 100,256 50,128 25,064 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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