λ
Sequence Observatory

4,729,105

5 × 599 × 1579
Deficient Odd Composite

Starting at 4,729,105, the Collatz iteration reaches 1 after 118 steps. The first transition is 14187316; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 599 × 1579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,688,000
Proper Divisor Sum 958,895
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4729069 ← → #4729133

Radix Representation

Decimal 4729105
Binary 10010000010100100010001 (23 bits)
Octal 0o22024421
Hexadecimal 0x482911

Divisor Catalog (8)

1 5 599 1,579 2,995 7,895 945,821 4,729,105

Collatz Trajectory (118 steps to reach 1)

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

4,729,105 14,187,316 7,093,658 3,546,829 10,640,488 5,320,244 2,660,122 1,330,061 3,990,184 1,995,092 997,546 498,773 1,496,320 748,160 374,080 187,040 93,520 46,760 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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