λ
Sigma Notebook

2,178,435

3 × 5 × 7 × 20747
Deficient Odd Composite

2,178,435 is odd and not a perfect square. Its factorization is 3 × 5 × 7 × 20747 and its 16 divisors sum to 3,983,616.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 20747
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,983,616
Proper Divisor Sum 1,805,181
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2178433 ← → #2178439

Radix Representation

Decimal 2178435
Binary 1000010011110110000011 (22 bits)
Octal 0o10236603
Hexadecimal 0x213D83

Divisor Catalog (16)

1 3 5 7 15 21 35 105 20,747 62,241 103,735 145,229 311,205 435,687 726,145 2,178,435

Collatz Trajectory (210 steps to reach 1)

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

2,178,435 6,535,306 3,267,653 9,802,960 4,901,480 2,450,740 1,225,370 612,685 1,838,056 919,028 459,514 229,757 689,272 344,636 172,318 86,159 258,478 129,239 387,718 193,859 581,578 290,789 872,368 436,184 218,092 109,046 54,523 163,570 81,785 245,356 122,678 61,339 184,018 92,009 276,028 138,014 69,007 207,022 103,511 310,534 155,267 465,802 232,901 698,704 349,352 174,676 87,338 43,669 131,008 65,504 32,752 16,376 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822

More profiles

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