λ
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Atlas › Integer Profiles › Node 3,775,002

3,775,002

2 × 3 × 7 × 11 × 8171
Abundant Even Composite

3,775,002 factors as 2 × 3 × 7 × 11 × 8171. Its 32 positive divisors give a proper-divisor sum of 5,639,142, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 8171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,414,144
Proper Divisor Sum 5,639,142
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3774989 ← → #3775007

Radix Representation

Decimal 3775002
Binary 1110011001101000011010 (22 bits)
Octal 0o16315032
Hexadecimal 0x399A1A

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 8,171 16,342 24,513 49,026 57,197 89,881 114,394 171,591 179,762 269,643 343,182 539,286 629,167 1,258,334 1,887,501 3,775,002

Collatz Trajectory (110 steps to reach 1)

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

3,775,002 1,887,501 5,662,504 2,831,252 1,415,626 707,813 2,123,440 1,061,720 530,860 265,430 132,715 398,146 199,073 597,220 298,610 149,305 447,916 223,958 111,979 335,938 167,969 503,908 251,954 125,977 377,932 188,966 94,483 283,450 141,725 425,176 212,588 106,294 53,147 159,442 79,721 239,164 119,582 59,791 179,374 89,687 269,062 134,531 403,594 201,797 605,392 302,696 151,348 75,674 37,837 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982 3,991

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