λ
Sigma Notebook

42,331

42331
Deficient Odd Prime

42,331 is odd and not a perfect square. Its factorization is 42331 and its 2 divisors sum to 42,332.

Prime Factor Structure

Factorization String 42331
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 42,332
Proper Divisor Sum 1
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #42323 ← → #42337

Radix Representation

Decimal 42331
Binary 1010010101011011 (16 bits)
Octal 0o122533
Hexadecimal 0xA55B

Divisor Catalog (2)

1 42,331

Collatz Trajectory (57 steps to reach 1)

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

42,331 126,994 63,497 190,492 95,246 47,623 142,870 71,435 214,306 107,153 321,460 160,730 80,365 241,096 120,548 60,274 30,137 90,412 45,206 22,603 67,810 33,905 101,716 50,858 25,429 76,288 38,144 19,072 9,536 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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