λ
Sequence Observatory

8,217,359

8217359
Deficient Odd Prime

Starting at 8,217,359, the Collatz iteration reaches 1 after 106 steps. The first transition is 24652078; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8217359
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,217,360
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8217347 ← → #8217373

Radix Representation

Decimal 8217359
Binary 11111010110001100001111 (23 bits)
Octal 0o37261417
Hexadecimal 0x7D630F

Divisor Catalog (2)

Collatz Trajectory (106 steps to reach 1)

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

8,217,359 24,652,078 12,326,039 36,978,118 18,489,059 55,467,178 27,733,589 83,200,768 41,600,384 20,800,192 10,400,096 5,200,048 2,600,024 1,300,012 650,006 325,003 975,010 487,505 1,462,516 731,258 365,629 1,096,888 548,444 274,222 137,111 411,334 205,667 617,002 308,501 925,504 462,752 231,376 115,688 57,844 28,922 14,461 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689

More profiles

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