λ
Integer Codex

616,789

616789
Deficient Odd Prime

For 616,789, the 2 positive divisors have a total of 616,790. Removing 616,789 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 616789
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 616,790
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #616787 ← → #616793

Radix Representation

Decimal 616789
Binary 10010110100101010101 (20 bits)
Octal 0o2264525
Hexadecimal 0x96955

Divisor Catalog (2)

1 616,789

Collatz Trajectory (128 steps to reach 1)

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

616,789 1,850,368 925,184 462,592 231,296 115,648 57,824 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

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