λ
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Atlas › Integer Profiles › Node 3,018,876

3,018,876

22 × 3 × 7 × 83 × 433
Abundant Even Composite

3,018,876 factors as 2^2 × 3 × 7 × 83 × 433. Its 48 positive divisors give a proper-divisor sum of 5,147,268, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 83 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,166,144
Proper Divisor Sum 5,147,268
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3018803 ← → #3018881

Radix Representation

Decimal 3018876
Binary 1011100001000001111100 (22 bits)
Octal 0o13410174
Hexadecimal 0x2E107C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 433 498 581 866 996 1,162 1,299 1,732 1,743 2,324 2,598 3,031 3,486 5,196 6,062 6,972 9,093 12,124 18,186 35,939 36,372 71,878 107,817 143,756 215,634 251,573 431,268 503,146 754,719 1,006,292 1,509,438 3,018,876

Collatz Trajectory (169 steps to reach 1)

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

3,018,876 1,509,438 754,719 2,264,158 1,132,079 3,396,238 1,698,119 5,094,358 2,547,179 7,641,538 3,820,769 11,462,308 5,731,154 2,865,577 8,596,732 4,298,366 2,149,183 6,447,550 3,223,775 9,671,326 4,835,663 14,506,990 7,253,495 21,760,486 10,880,243 32,640,730 16,320,365 48,961,096 24,480,548 12,240,274 6,120,137 18,360,412 9,180,206 4,590,103 13,770,310 6,885,155 20,655,466 10,327,733 30,983,200 15,491,600 7,745,800 3,872,900 1,936,450 968,225 2,904,676 1,452,338 726,169 2,178,508 1,089,254 544,627 1,633,882 816,941 2,450,824 1,225,412 612,706 306,353 919,060 459,530 229,765 689,296

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