λ
Sequence Observatory

8,730,854

2 × 11 × 229 × 1733
Deficient Even Composite

Starting at 8,730,854, the Collatz iteration reaches 1 after 212 steps. The first transition is 4365427; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 229 × 1733
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,357,520
Proper Divisor Sum 5,626,666
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8730851 ← → #8730857

Radix Representation

Decimal 8730854
Binary 100001010011100011100110 (24 bits)
Octal 0o41234346
Hexadecimal 0x8538E6

Divisor Catalog (16)

1 2 11 22 229 458 1,733 2,519 3,466 5,038 19,063 38,126 396,857 793,714 4,365,427 8,730,854

Collatz Trajectory (212 steps to reach 1)

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

8,730,854 4,365,427 13,096,282 6,548,141 19,644,424 9,822,212 4,911,106 2,455,553 7,366,660 3,683,330 1,841,665 5,524,996 2,762,498 1,381,249 4,143,748 2,071,874 1,035,937 3,107,812 1,553,906 776,953 2,330,860 1,165,430 582,715 1,748,146 874,073 2,622,220 1,311,110 655,555 1,966,666 983,333 2,950,000 1,475,000 737,500 368,750 184,375 553,126 276,563 829,690 414,845 1,244,536 622,268 311,134 155,567 466,702 233,351 700,054 350,027 1,050,082 525,041 1,575,124 787,562 393,781 1,181,344 590,672 295,336 147,668 73,834 36,917 110,752 55,376

More profiles

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