6,815,073

3 × 547 × 4153

Starting at 6,815,073, the Collatz iteration reaches 1 after 116 steps. The first transition is 20445220; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 547 × 4153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,105,568

Proper Divisor Sum 2,290,495

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6815069 ← → #6815099

Radix Representation

Decimal	6815073
Binary	11001111111110101100001 (23 bits)
Octal	0o31776541
Hexadecimal	0x67FD61

Divisor Catalog (8)

1 3 547 1,641 4,153 12,459 2,271,691 6,815,073

Collatz Trajectory (116 steps to reach 1)

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

6,815,073 20,445,220 10,222,610 5,111,305 15,333,916 7,666,958 3,833,479 11,500,438 5,750,219 17,250,658 8,625,329 25,875,988 12,937,994 6,468,997 19,406,992 9,703,496 4,851,748 2,425,874 1,212,937 3,638,812 1,819,406 909,703 2,729,110 1,364,555 4,093,666 2,046,833 6,140,500 3,070,250 1,535,125 4,605,376 2,302,688 1,151,344 575,672 287,836 143,918 71,959 215,878 107,939 323,818 161,909 485,728 242,864 121,432 60,716 30,358 15,179 45,538 22,769 68,308 34,154 17,077 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201

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