6,621,812

2² × 311 × 5323

Starting at 6,621,812, the Collatz iteration reaches 1 after 209 steps. The first transition is 3310906; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 311 × 5323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,627,616

Proper Divisor Sum 5,005,804

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6621809 ← → #6621827

Radix Representation

Decimal	6621812
Binary	11001010000101001110100 (23 bits)
Octal	0o31205164
Hexadecimal	0x650A74

Divisor Catalog (12)

1 2 4 311 622 1,244 5,323 10,646 21,292 1,655,453 3,310,906 6,621,812

Collatz Trajectory (209 steps to reach 1)

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

6,621,812 3,310,906 1,655,453 4,966,360 2,483,180 1,241,590 620,795 1,862,386 931,193 2,793,580 1,396,790 698,395 2,095,186 1,047,593 3,142,780 1,571,390 785,695 2,357,086 1,178,543 3,535,630 1,767,815 5,303,446 2,651,723 7,955,170 3,977,585 11,932,756 5,966,378 2,983,189 8,949,568 4,474,784 2,237,392 1,118,696 559,348 279,674 139,837 419,512 209,756 104,878 52,439 157,318 78,659 235,978 117,989 353,968 176,984 88,492 44,246 22,123 66,370 33,185 99,556 49,778 24,889 74,668 37,334 18,667 56,002 28,001 84,004 42,002

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