λ
Sigma Notebook

5,511,876

22 × 3 × 17 × 41 × 659
Abundant Even Composite

5,511,876 is even and not a perfect square. Its factorization is 2^2 × 3 × 17 × 41 × 659 and its 48 divisors sum to 13,970,880.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 41 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,970,880
Proper Divisor Sum 8,459,004
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5511871 ← → #5511901

Radix Representation

Decimal 5511876
Binary 10101000001101011000100 (23 bits)
Octal 0o25015304
Hexadecimal 0x541AC4

Divisor Catalog (48)

1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 659 697 1,318 1,394 1,977 2,091 2,636 2,788 3,954 4,182 7,908 8,364 11,203 22,406 27,019 33,609 44,812 54,038 67,218 81,057 108,076 134,436 162,114 324,228 459,323 918,646 1,377,969 1,837,292 2,755,938 5,511,876

Collatz Trajectory (108 steps to reach 1)

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

5,511,876 2,755,938 1,377,969 4,133,908 2,066,954 1,033,477 3,100,432 1,550,216 775,108 387,554 193,777 581,332 290,666 145,333 436,000 218,000 109,000 54,500 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990

More profiles

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