333,510

2 × 3 × 5 × 11117

333,510 factors as 2 × 3 × 5 × 11117. Its 16 positive divisors give a proper-divisor sum of 466,986, so this integer is abundant. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11117

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 800,496

Proper Divisor Sum 466,986

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #333503 ← → #333517

Radix Representation

Decimal	333510
Binary	1010001011011000110 (19 bits)
Octal	0o1213306
Hexadecimal	0x516C6

Divisor Catalog (16)

1 2 3 5 6 10 15 30 11,117 22,234 33,351 55,585 66,702 111,170 166,755 333,510

Collatz Trajectory (47 steps to reach 1)

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

333,510 166,755 500,266 250,133 750,400 375,200 187,600 93,800 46,900 23,450 11,725 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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