λ
Sequence Observatory

8,909,291

8909291
Deficient Odd Prime

Starting at 8,909,291, the Collatz iteration reaches 1 after 455 steps. The first transition is 26727874; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8909291
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,909,292
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8909287 ← → #8909297

Radix Representation

Decimal 8909291
Binary 100001111111000111101011 (24 bits)
Octal 0o41770753
Hexadecimal 0x87F1EB

Divisor Catalog (2)

Collatz Trajectory (455 steps to reach 1)

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

8,909,291 26,727,874 13,363,937 40,091,812 20,045,906 10,022,953 30,068,860 15,034,430 7,517,215 22,551,646 11,275,823 33,827,470 16,913,735 50,741,206 25,370,603 76,111,810 38,055,905 114,167,716 57,083,858 28,541,929 85,625,788 42,812,894 21,406,447 64,219,342 32,109,671 96,329,014 48,164,507 144,493,522 72,246,761 216,740,284 108,370,142 54,185,071 162,555,214 81,277,607 243,832,822 121,916,411 365,749,234 182,874,617 548,623,852 274,311,926 137,155,963 411,467,890 205,733,945 617,201,836 308,600,918 154,300,459 462,901,378 231,450,689 694,352,068 347,176,034 173,588,017 520,764,052 260,382,026 130,191,013 390,573,040 195,286,520 97,643,260 48,821,630 24,410,815 73,232,446

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