λ
Sequence Observatory

5,410,234

2 × 827 × 3271
Deficient Even Composite

Starting at 5,410,234, the Collatz iteration reaches 1 after 69 steps. The first transition is 2705117; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 827 × 3271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,127,648
Proper Divisor Sum 2,717,414
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5410201 ← → #5410253

Radix Representation

Decimal 5410234
Binary 10100101000110110111010 (23 bits)
Octal 0o24506672
Hexadecimal 0x528DBA

Divisor Catalog (8)

1 2 827 1,654 3,271 6,542 2,705,117 5,410,234

Collatz Trajectory (69 steps to reach 1)

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

5,410,234 2,705,117 8,115,352 4,057,676 2,028,838 1,014,419 3,043,258 1,521,629 4,564,888 2,282,444 1,141,222 570,611 1,711,834 855,917 2,567,752 1,283,876 641,938 320,969 962,908 481,454 240,727 722,182 361,091 1,083,274 541,637 1,624,912 812,456 406,228 203,114 101,557 304,672 152,336 76,168 38,084 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160

More profiles

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