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Atlas › Integer Profiles › Node 3,213,096

3,213,096

23 × 3 × 83 × 1613
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 83 × 1613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,134,560
Proper Divisor Sum 4,921,464
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3213083 ← → #3213101

Radix Representation

Decimal 3213096
Binary 1100010000011100101000 (22 bits)
Octal 0o14203450
Hexadecimal 0x310728

Divisor Catalog (32)

1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1,613 1,992 3,226 4,839 6,452 9,678 12,904 19,356 38,712 133,879 267,758 401,637 535,516 803,274 1,071,032 1,606,548 3,213,096

Collatz Trajectory (71 steps to reach 1)

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

3,213,096 1,606,548 803,274 401,637 1,204,912 602,456 301,228 150,614 75,307 225,922 112,961 338,884 169,442 84,721 254,164 127,082 63,541 190,624 95,312 47,656 23,828 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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