λ
Sequence Observatory

5,120,483

43 × 193 × 617
Deficient Odd Composite

Starting at 5,120,483, the Collatz iteration reaches 1 after 100 steps. The first transition is 15361450; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 43 × 193 × 617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,275,248
Proper Divisor Sum 154,765
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5120477 ← → #5120491

Radix Representation

Decimal 5120483
Binary 10011100010000111100011 (23 bits)
Octal 0o23420743
Hexadecimal 0x4E21E3

Divisor Catalog (8)

1 43 193 617 8,299 26,531 119,081 5,120,483

Collatz Trajectory (100 steps to reach 1)

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

5,120,483 15,361,450 7,680,725 23,042,176 11,521,088 5,760,544 2,880,272 1,440,136 720,068 360,034 180,017 540,052 270,026 135,013 405,040 202,520 101,260 50,630 25,315 75,946 37,973 113,920 56,960 28,480 14,240 7,120 3,560 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

More profiles

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