λ
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3,674,076

22 × 3 × 7 × 191 × 229
Abundant Even Composite

3,674,076 factors as 2^2 × 3 × 7 × 191 × 229. Its 48 positive divisors give a proper-divisor sum of 6,217,764, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 191 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,891,840
Proper Divisor Sum 6,217,764
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3674071 ← → #3674081

Radix Representation

Decimal 3674076
Binary 1110000000111111011100 (22 bits)
Octal 0o16007734
Hexadecimal 0x380FDC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 191 229 382 458 573 687 764 916 1,146 1,337 1,374 1,603 2,292 2,674 2,748 3,206 4,011 4,809 5,348 6,412 8,022 9,618 16,044 19,236 43,739 87,478 131,217 174,956 262,434 306,173 524,868 612,346 918,519 1,224,692 1,837,038 3,674,076

Collatz Trajectory (115 steps to reach 1)

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

3,674,076 1,837,038 918,519 2,755,558 1,377,779 4,133,338 2,066,669 6,200,008 3,100,004 1,550,002 775,001 2,325,004 1,162,502 581,251 1,743,754 871,877 2,615,632 1,307,816 653,908 326,954 163,477 490,432 245,216 122,608 61,304 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846

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