5,806,122

2 × 3 × 7 × 138241

5,806,122 has digital root 6. The neighboring primes are 5806121 and 5806123; its proper-divisor sum differs from the starting integer by 1,658,988.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 138241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,271,232

Proper Divisor Sum 7,465,110

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5806121 ← → #5806123

Radix Representation

Decimal	5806122
Binary	10110001001100000101010 (23 bits)
Octal	0o26114052
Hexadecimal	0x58982A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 138,241 276,482 414,723 829,446 967,687 1,935,374 2,903,061 5,806,122

Collatz Trajectory (121 steps to reach 1)

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

5,806,122 2,903,061 8,709,184 4,354,592 2,177,296 1,088,648 544,324 272,162 136,081 408,244 204,122 102,061 306,184 153,092 76,546 38,273 114,820 57,410 28,705 86,116 43,058 21,529 64,588 32,294 16,147 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140

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