λ
Sequence Observatory

2,091,535

5 × 557 × 751
Deficient Odd Composite

Starting at 2,091,535, the Collatz iteration reaches 1 after 197 steps. The first transition is 6274606; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 557 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,517,696
Proper Divisor Sum 426,161
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2091521 ← → #2091553

Radix Representation

Decimal 2091535
Binary 111111110101000001111 (21 bits)
Octal 0o7765017
Hexadecimal 0x1FEA0F

Divisor Catalog (8)

1 5 557 751 2,785 3,755 418,307 2,091,535

Collatz Trajectory (197 steps to reach 1)

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

2,091,535 6,274,606 3,137,303 9,411,910 4,705,955 14,117,866 7,058,933 21,176,800 10,588,400 5,294,200 2,647,100 1,323,550 661,775 1,985,326 992,663 2,977,990 1,488,995 4,466,986 2,233,493 6,700,480 3,350,240 1,675,120 837,560 418,780 209,390 104,695 314,086 157,043 471,130 235,565 706,696 353,348 176,674 88,337 265,012 132,506 66,253 198,760 99,380 49,690 24,845 74,536 37,268 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213

More profiles

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