λ
Sequence Observatory

6,717,277

7 × 271 × 3541
Deficient Odd Composite

Starting at 6,717,277, the Collatz iteration reaches 1 after 160 steps. The first transition is 20151832; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 271 × 3541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,707,392
Proper Divisor Sum 990,115
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6717229 ← → #6717281

Radix Representation

Decimal 6717277
Binary 11001100111111101011101 (23 bits)
Octal 0o31477535
Hexadecimal 0x667F5D

Divisor Catalog (8)

1 7 271 1,897 3,541 24,787 959,611 6,717,277

Collatz Trajectory (160 steps to reach 1)

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

6,717,277 20,151,832 10,075,916 5,037,958 2,518,979 7,556,938 3,778,469 11,335,408 5,667,704 2,833,852 1,416,926 708,463 2,125,390 1,062,695 3,188,086 1,594,043 4,782,130 2,391,065 7,173,196 3,586,598 1,793,299 5,379,898 2,689,949 8,069,848 4,034,924 2,017,462 1,008,731 3,026,194 1,513,097 4,539,292 2,269,646 1,134,823 3,404,470 1,702,235 5,106,706 2,553,353 7,660,060 3,830,030 1,915,015 5,745,046 2,872,523 8,617,570 4,308,785 12,926,356 6,463,178 3,231,589 9,694,768 4,847,384 2,423,692 1,211,846 605,923 1,817,770 908,885 2,726,656 1,363,328 681,664 340,832 170,416 85,208 42,604

More profiles

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