λ
Sequence Observatory

6,849,508

22 × 53 × 32309
Deficient Even Composite

Starting at 6,849,508, the Collatz iteration reaches 1 after 77 steps. The first transition is 3424754; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 53 × 32309
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,213,180
Proper Divisor Sum 5,363,672
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6849499 ← → #6849509

Radix Representation

Decimal 6849508
Binary 11010001000001111100100 (23 bits)
Octal 0o32101744
Hexadecimal 0x6883E4

Divisor Catalog (12)

1 2 4 53 106 212 32,309 64,618 129,236 1,712,377 3,424,754 6,849,508

Collatz Trajectory (77 steps to reach 1)

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

6,849,508 3,424,754 1,712,377 5,137,132 2,568,566 1,284,283 3,852,850 1,926,425 5,779,276 2,889,638 1,444,819 4,334,458 2,167,229 6,501,688 3,250,844 1,625,422 812,711 2,438,134 1,219,067 3,657,202 1,828,601 5,485,804 2,742,902 1,371,451 4,114,354 2,057,177 6,171,532 3,085,766 1,542,883 4,628,650 2,314,325 6,942,976 3,471,488 1,735,744 867,872 433,936 216,968 108,484 54,242 27,121 81,364 40,682 20,341 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208

More profiles

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