λ
Sigma Notebook

117,603

32 × 73 × 179
Deficient Odd Composite

117,603 is odd and not a perfect square. Its factorization is 3^2 × 73 × 179 and its 12 divisors sum to 173,160.

Prime Factor Structure

Factorization String 3^2 × 73 × 179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 173,160
Proper Divisor Sum 55,557
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #117577 ← → #117617

Radix Representation

Decimal 117603
Binary 11100101101100011 (17 bits)
Octal 0o345543
Hexadecimal 0x1CB63

Divisor Catalog (12)

1 3 9 73 179 219 537 657 1,611 13,067 39,201 117,603

Collatz Trajectory (167 steps to reach 1)

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

117,603 352,810 176,405 529,216 264,608 132,304 66,152 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

More profiles

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