6,687,916

2² × 71 × 23549

Starting at 6,687,916, the Collatz iteration reaches 1 after 85 steps. The first transition is 3343958; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 71 × 23549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,869,200

Proper Divisor Sum 5,181,284

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6687881 ← → #6687931

Radix Representation

Decimal	6687916
Binary	11001100000110010101100 (23 bits)
Octal	0o31406254
Hexadecimal	0x660CAC

Divisor Catalog (12)

1 2 4 71 142 284 23,549 47,098 94,196 1,671,979 3,343,958 6,687,916

Collatz Trajectory (85 steps to reach 1)

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

6,687,916 3,343,958 1,671,979 5,015,938 2,507,969 7,523,908 3,761,954 1,880,977 5,642,932 2,821,466 1,410,733 4,232,200 2,116,100 1,058,050 529,025 1,587,076 793,538 396,769 1,190,308 595,154 297,577 892,732 446,366 223,183 669,550 334,775 1,004,326 502,163 1,506,490 753,245 2,259,736 1,129,868 564,934 282,467 847,402 423,701 1,271,104 635,552 317,776 158,888 79,444 39,722 19,861 59,584 29,792 14,896 7,448 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197

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