6,813,001

13 × 19 × 27583

Starting at 6,813,001, the Collatz iteration reaches 1 after 222 steps. The first transition is 20439004; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 19 × 27583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,723,520

Proper Divisor Sum 910,519

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #6812987 ← → #6813007

Radix Representation

Decimal	6813001
Binary	11001111111010101001001 (23 bits)
Octal	0o31772511
Hexadecimal	0x67F549

Divisor Catalog (8)

1 13 19 247 27,583 358,579 524,077 6,813,001

Collatz Trajectory (222 steps to reach 1)

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

6,813,001 20,439,004 10,219,502 5,109,751 15,329,254 7,664,627 22,993,882 11,496,941 34,490,824 17,245,412 8,622,706 4,311,353 12,934,060 6,467,030 3,233,515 9,700,546 4,850,273 14,550,820 7,275,410 3,637,705 10,913,116 5,456,558 2,728,279 8,184,838 4,092,419 12,277,258 6,138,629 18,415,888 9,207,944 4,603,972 2,301,986 1,150,993 3,452,980 1,726,490 863,245 2,589,736 1,294,868 647,434 323,717 971,152 485,576 242,788 121,394 60,697 182,092 91,046 45,523 136,570 68,285 204,856 102,428 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213

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