λ
Sequence Observatory

384,815

5 × 76963
Deficient Odd Composite

Starting at 384,815, the Collatz iteration reaches 1 after 179 steps. The first transition is 1154446; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 76963
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 461,784
Proper Divisor Sum 76,969
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #384779 ← → #384817

Radix Representation

Decimal 384815
Binary 1011101111100101111 (19 bits)
Octal 0o1357457
Hexadecimal 0x5DF2F

Divisor Catalog (4)

1 5 76,963 384,815

Collatz Trajectory (179 steps to reach 1)

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

384,815 1,154,446 577,223 1,731,670 865,835 2,597,506 1,298,753 3,896,260 1,948,130 974,065 2,922,196 1,461,098 730,549 2,191,648 1,095,824 547,912 273,956 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752 1,405,876 702,938 351,469 1,054,408 527,204

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