λ
Integer Codex

5,006,262

2 × 3 × 17 × 49081
Abundant Even Composite

For 5,006,262, the 16 positive divisors have a total of 10,601,712. Removing 5,006,262 leaves 5,595,450, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 49081
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,601,712
Proper Divisor Sum 5,595,450
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5006237 ← → #5006269

Radix Representation

Decimal 5006262
Binary 10011000110001110110110 (23 bits)
Octal 0o23061666
Hexadecimal 0x4C63B6

Divisor Catalog (16)

1 2 3 6 17 34 51 102 49,081 98,162 147,243 294,486 834,377 1,668,754 2,503,131 5,006,262

Collatz Trajectory (82 steps to reach 1)

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

5,006,262 2,503,131 7,509,394 3,754,697 11,264,092 5,632,046 2,816,023 8,448,070 4,224,035 12,672,106 6,336,053 19,008,160 9,504,080 4,752,040 2,376,020 1,188,010 594,005 1,782,016 891,008 445,504 222,752 111,376 55,688 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148

More profiles

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