λ
Integer Codex

6,236,202

2 × 3 × 7 × 37 × 4013
Abundant Even Composite

For 6,236,202, the 32 positive divisors have a total of 14,643,072. Removing 6,236,202 leaves 8,406,870, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 4013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,643,072
Proper Divisor Sum 8,406,870
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6236201 ← → #6236203

Radix Representation

Decimal 6236202
Binary 10111110010100000101010 (23 bits)
Octal 0o27624052
Hexadecimal 0x5F282A

Divisor Catalog (32)

1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1,554 4,013 8,026 12,039 24,078 28,091 56,182 84,273 148,481 168,546 296,962 445,443 890,886 1,039,367 2,078,734 3,118,101 6,236,202

Collatz Trajectory (72 steps to reach 1)

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

6,236,202 3,118,101 9,354,304 4,677,152 2,338,576 1,169,288 584,644 292,322 146,161 438,484 219,242 109,621 328,864 164,432 82,216 41,108 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

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