λ
Integer Codex

2,044,146

2 × 3 × 13 × 73 × 359
Abundant Even Composite

For 2,044,146, the 32 positive divisors have a total of 4,475,520. Removing 2,044,146 leaves 2,431,374, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 73 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,475,520
Proper Divisor Sum 2,431,374
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2044129 ← → #2044151

Radix Representation

Decimal 2044146
Binary 111110011000011110010 (21 bits)
Octal 0o7630362
Hexadecimal 0x1F30F2

Divisor Catalog (32)

1 2 3 6 13 26 39 73 78 146 219 359 438 718 949 1,077 1,898 2,154 2,847 4,667 5,694 9,334 14,001 26,207 28,002 52,414 78,621 157,242 340,691 681,382 1,022,073 2,044,146

Collatz Trajectory (166 steps to reach 1)

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

2,044,146 1,022,073 3,066,220 1,533,110 766,555 2,299,666 1,149,833 3,449,500 1,724,750 862,375 2,587,126 1,293,563 3,880,690 1,940,345 5,821,036 2,910,518 1,455,259 4,365,778 2,182,889 6,548,668 3,274,334 1,637,167 4,911,502 2,455,751 7,367,254 3,683,627 11,050,882 5,525,441 16,576,324 8,288,162 4,144,081 12,432,244 6,216,122 3,108,061 9,324,184 4,662,092 2,331,046 1,165,523 3,496,570 1,748,285 5,244,856 2,622,428 1,311,214 655,607 1,966,822 983,411 2,950,234 1,475,117 4,425,352 2,212,676 1,106,338 553,169 1,659,508 829,754 414,877 1,244,632 622,316 311,158 155,579 466,738

More profiles

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