λ
Sigma Notebook

310,042

2 × 19 × 41 × 199
Deficient Even Composite

310,042 is even and not a perfect square. Its factorization is 2 × 19 × 41 × 199 and its 16 divisors sum to 504,000.

Prime Factor Structure

Factorization String 2 × 19 × 41 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 504,000
Proper Divisor Sum 193,958
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #310027 ← → #310043

Radix Representation

Decimal 310042
Binary 1001011101100011010 (19 bits)
Octal 0o1135432
Hexadecimal 0x4BB1A

Divisor Catalog (16)

1 2 19 38 41 82 199 398 779 1,558 3,781 7,562 8,159 16,318 155,021 310,042

Collatz Trajectory (78 steps to reach 1)

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

310,042 155,021 465,064 232,532 116,266 58,133 174,400 87,200 43,600 21,800 10,900 5,450 2,725 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56

More profiles

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