6,821,618

2 × 509 × 6701

Starting at 6,821,618, the Collatz iteration reaches 1 after 222 steps. The first transition is 3410809; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 509 × 6701

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,254,060

Proper Divisor Sum 3,432,442

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6821611 ← → #6821623

Radix Representation

Decimal	6821618
Binary	11010000001011011110010 (23 bits)
Octal	0o32013362
Hexadecimal	0x6816F2

Divisor Catalog (8)

1 2 509 1,018 6,701 13,402 3,410,809 6,821,618

Collatz Trajectory (222 steps to reach 1)

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

6,821,618 3,410,809 10,232,428 5,116,214 2,558,107 7,674,322 3,837,161 11,511,484 5,755,742 2,877,871 8,633,614 4,316,807 12,950,422 6,475,211 19,425,634 9,712,817 29,138,452 14,569,226 7,284,613 21,853,840 10,926,920 5,463,460 2,731,730 1,365,865 4,097,596 2,048,798 1,024,399 3,073,198 1,536,599 4,609,798 2,304,899 6,914,698 3,457,349 10,372,048 5,186,024 2,593,012 1,296,506 648,253 1,944,760 972,380 486,190 243,095 729,286 364,643 1,093,930 546,965 1,640,896 820,448 410,224 205,112 102,556 51,278 25,639 76,918 38,459 115,378 57,689 173,068 86,534 43,267

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