λ
Sequence Observatory

5,100,211

5100211
Deficient Odd Prime

Starting at 5,100,211, the Collatz iteration reaches 1 after 82 steps. The first transition is 15300634; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 5100211
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,100,212
Proper Divisor Sum 1
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #5100169 ← → #5100229

Radix Representation

Decimal 5100211
Binary 10011011101001010110011 (23 bits)
Octal 0o23351263
Hexadecimal 0x4DD2B3

Divisor Catalog (2)

Collatz Trajectory (82 steps to reach 1)

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

5,100,211 15,300,634 7,650,317 22,950,952 11,475,476 5,737,738 2,868,869 8,606,608 4,303,304 2,151,652 1,075,826 537,913 1,613,740 806,870 403,435 1,210,306 605,153 1,815,460 907,730 453,865 1,361,596 680,798 340,399 1,021,198 510,599 1,531,798 765,899 2,297,698 1,148,849 3,446,548 1,723,274 861,637 2,584,912 1,292,456 646,228 323,114 161,557 484,672 242,336 121,168 60,584 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25

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