λ
Sequence Observatory

6,657,526

2 × 3328763
Deficient Even Composite

Starting at 6,657,526, the Collatz iteration reaches 1 after 165 steps. The first transition is 3328763; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3328763
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,986,292
Proper Divisor Sum 3,328,766
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6657517 ← → #6657533

Radix Representation

Decimal 6657526
Binary 11001011001010111110110 (23 bits)
Octal 0o31312766
Hexadecimal 0x6595F6

Divisor Catalog (4)

1 2 3,328,763 6,657,526

Collatz Trajectory (165 steps to reach 1)

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

6,657,526 3,328,763 9,986,290 4,993,145 14,979,436 7,489,718 3,744,859 11,234,578 5,617,289 16,851,868 8,425,934 4,212,967 12,638,902 6,319,451 18,958,354 9,479,177 28,437,532 14,218,766 7,109,383 21,328,150 10,664,075 31,992,226 15,996,113 47,988,340 23,994,170 11,997,085 35,991,256 17,995,628 8,997,814 4,498,907 13,496,722 6,748,361 20,245,084 10,122,542 5,061,271 15,183,814 7,591,907 22,775,722 11,387,861 34,163,584 17,081,792 8,540,896 4,270,448 2,135,224 1,067,612 533,806 266,903 800,710 400,355 1,201,066 600,533 1,801,600 900,800 450,400 225,200 112,600 56,300 28,150 14,075 42,226

More profiles

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