3,676,852

2² × 29² × 1093

3,676,852 factors as 2^2 × 29^2 × 1093. Its 18 positive divisors give a proper-divisor sum of 2,993,266, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2^2 × 29^2 × 1093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,670,118

Proper Divisor Sum 2,993,266

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3676847 ← → #3676853

Radix Representation

Decimal	3676852
Binary	1110000001101010110100 (22 bits)
Octal	0o16015264
Hexadecimal	0x381AB4

Divisor Catalog (18)

1 2 4 29 58 116 841 1,093 1,682 2,186 3,364 4,372 31,697 63,394 126,788 919,213 1,838,426 3,676,852

Collatz Trajectory (265 steps to reach 1)

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

3,676,852 1,838,426 919,213 2,757,640 1,378,820 689,410 344,705 1,034,116 517,058 258,529 775,588 387,794 193,897 581,692 290,846 145,423 436,270 218,135 654,406 327,203 981,610 490,805 1,472,416 736,208 368,104 184,052 92,026 46,013 138,040 69,020 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934

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