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Atlas › Integer Profiles › Node 38,123,724

38,123,724

22 × 3 × 172 × 10993
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 17^2 × 10993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 94,504,424
Proper Divisor Sum 56,380,700
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #38123717 ← → #38123753

Radix Representation

Decimal 38123724
Binary 10010001011011100011001100 (26 bits)
Octal 0o221334314
Hexadecimal 0x245B8CC

Divisor Catalog (36)

1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1,156 1,734 3,468 10,993 21,986 32,979 43,972 65,958 131,916 186,881 373,762 560,643 747,524 1,121,286 2,242,572 3,176,977 6,353,954 9,530,931 12,707,908 19,061,862 38,123,724

Collatz Trajectory (271 steps to reach 1)

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

38,123,724 19,061,862 9,530,931 28,592,794 14,296,397 42,889,192 21,444,596 10,722,298 5,361,149 16,083,448 8,041,724 4,020,862 2,010,431 6,031,294 3,015,647 9,046,942 4,523,471 13,570,414 6,785,207 20,355,622 10,177,811 30,533,434 15,266,717 45,800,152 22,900,076 11,450,038 5,725,019 17,175,058 8,587,529 25,762,588 12,881,294 6,440,647 19,321,942 9,660,971 28,982,914 14,491,457 43,474,372 21,737,186 10,868,593 32,605,780 16,302,890 8,151,445 24,454,336 12,227,168 6,113,584 3,056,792 1,528,396 764,198 382,099 1,146,298 573,149 1,719,448 859,724 429,862 214,931 644,794 322,397 967,192 483,596 241,798

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