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Atlas › Integer Profiles › Node 3,985,494

3,985,494

2 × 3 × 53 × 83 × 151
Abundant Even Composite

3,985,494 factors as 2 × 3 × 53 × 83 × 151. Its 32 positive divisors give a proper-divisor sum of 4,288,170, so this integer is abundant. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 83 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,273,664
Proper Divisor Sum 4,288,170
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3985469 ← → #3985511

Radix Representation

Decimal 3985494
Binary 1111001101000001010110 (22 bits)
Octal 0o17150126
Hexadecimal 0x3CD056

Divisor Catalog (32)

1 2 3 6 53 83 106 151 159 166 249 302 318 453 498 906 4,399 8,003 8,798 12,533 13,197 16,006 24,009 25,066 26,394 37,599 48,018 75,198 664,249 1,328,498 1,992,747 3,985,494

Collatz Trajectory (260 steps to reach 1)

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

3,985,494 1,992,747 5,978,242 2,989,121 8,967,364 4,483,682 2,241,841 6,725,524 3,362,762 1,681,381 5,044,144 2,522,072 1,261,036 630,518 315,259 945,778 472,889 1,418,668 709,334 354,667 1,064,002 532,001 1,596,004 798,002 399,001 1,197,004 598,502 299,251 897,754 448,877 1,346,632 673,316 336,658 168,329 504,988 252,494 126,247 378,742 189,371 568,114 284,057 852,172 426,086 213,043 639,130 319,565 958,696 479,348 239,674 119,837 359,512 179,756 89,878 44,939 134,818 67,409 202,228 101,114 50,557 151,672

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