6,821,337

3 × 67 × 33937

Starting at 6,821,337, the Collatz iteration reaches 1 after 116 steps. The first transition is 20464012; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 67 × 33937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,231,136

Proper Divisor Sum 2,409,799

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6821303 ← → #6821383

Radix Representation

Decimal	6821337
Binary	11010000001010111011001 (23 bits)
Octal	0o32012731
Hexadecimal	0x6815D9

Divisor Catalog (8)

1 3 67 201 33,937 101,811 2,273,779 6,821,337

Collatz Trajectory (116 steps to reach 1)

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

6,821,337 20,464,012 10,232,006 5,116,003 15,348,010 7,674,005 23,022,016 11,511,008 5,755,504 2,877,752 1,438,876 719,438 359,719 1,079,158 539,579 1,618,738 809,369 2,428,108 1,214,054 607,027 1,821,082 910,541 2,731,624 1,365,812 682,906 341,453 1,024,360 512,180 256,090 128,045 384,136 192,068 96,034 48,017 144,052 72,026 36,013 108,040 54,020 27,010 13,505 40,516 20,258 10,129 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216

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