λ
Sigma Notebook

3,037,914

2 × 32 × 11 × 67 × 229
Abundant Even Composite

3,037,914 is even and not a perfect square. Its factorization is 2 × 3^2 × 11 × 67 × 229 and its 48 divisors sum to 7,319,520.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 67 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,319,520
Proper Divisor Sum 4,281,606
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3037901 ← → #3037919

Radix Representation

Decimal 3037914
Binary 1011100101101011011010 (22 bits)
Octal 0o13455332
Hexadecimal 0x2E5ADA

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 229 402 458 603 687 737 1,206 1,374 1,474 2,061 2,211 2,519 4,122 4,422 5,038 6,633 7,557 13,266 15,114 15,343 22,671 30,686 45,342 46,029 92,058 138,087 168,773 276,174 337,546 506,319 1,012,638 1,518,957 3,037,914

Collatz Trajectory (133 steps to reach 1)

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

3,037,914 1,518,957 4,556,872 2,278,436 1,139,218 569,609 1,708,828 854,414 427,207 1,281,622 640,811 1,922,434 961,217 2,883,652 1,441,826 720,913 2,162,740 1,081,370 540,685 1,622,056 811,028 405,514 202,757 608,272 304,136 152,068 76,034 38,017 114,052 57,026 28,513 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271

More profiles

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