6,613,006

2 × 23 × 233 × 617

6,613,006 has digital root 4. The neighboring primes are 6613003 and 6613021; its proper-divisor sum differs from the starting integer by -2,813,948.

Prime Factor Structure

Factorization String 2 × 23 × 233 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,412,064

Proper Divisor Sum 3,799,058

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6613003 ← → #6613021

Radix Representation

Decimal	6613006
Binary	11001001110100000001110 (23 bits)
Octal	0o31164016
Hexadecimal	0x64E80E

Divisor Catalog (16)

1 2 23 46 233 466 617 1,234 5,359 10,718 14,191 28,382 143,761 287,522 3,306,503 6,613,006

Collatz Trajectory (116 steps to reach 1)

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

6,613,006 3,306,503 9,919,510 4,959,755 14,879,266 7,439,633 22,318,900 11,159,450 5,579,725 16,739,176 8,369,588 4,184,794 2,092,397 6,277,192 3,138,596 1,569,298 784,649 2,353,948 1,176,974 588,487 1,765,462 882,731 2,648,194 1,324,097 3,972,292 1,986,146 993,073 2,979,220 1,489,610 744,805 2,234,416 1,117,208 558,604 279,302 139,651 418,954 209,477 628,432 314,216 157,108 78,554 39,277 117,832 58,916 29,458 14,729 44,188 22,094 11,047 33,142 16,571 49,714 24,857 74,572 37,286 18,643 55,930 27,965 83,896 41,948

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