λ
Sigma Notebook

5,967,180

22 × 32 × 5 × 33151
Abundant Even Composite

5,967,180 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 5 × 33151 and its 36 divisors sum to 18,100,992.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 33151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,100,992
Proper Divisor Sum 12,133,812
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5967179 ← → #5967193

Radix Representation

Decimal 5967180
Binary 10110110000110101001100 (23 bits)
Octal 0o26606514
Hexadecimal 0x5B0D4C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 33,151 66,302 99,453 132,604 165,755 198,906 298,359 331,510 397,812 497,265 596,718 663,020 994,530 1,193,436 1,491,795 1,989,060 2,983,590 5,967,180

Collatz Trajectory (227 steps to reach 1)

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

5,967,180 2,983,590 1,491,795 4,475,386 2,237,693 6,713,080 3,356,540 1,678,270 839,135 2,517,406 1,258,703 3,776,110 1,888,055 5,664,166 2,832,083 8,496,250 4,248,125 12,744,376 6,372,188 3,186,094 1,593,047 4,779,142 2,389,571 7,168,714 3,584,357 10,753,072 5,376,536 2,688,268 1,344,134 672,067 2,016,202 1,008,101 3,024,304 1,512,152 756,076 378,038 189,019 567,058 283,529 850,588 425,294 212,647 637,942 318,971 956,914 478,457 1,435,372 717,686 358,843 1,076,530 538,265 1,614,796 807,398 403,699 1,211,098 605,549 1,816,648 908,324 454,162 227,081

More profiles

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