762,882

2 × 3 × 53 × 2399

762,882 factors as 2 × 3 × 53 × 2399. Its 16 positive divisors give a proper-divisor sum of 792,318, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 2399

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,555,200

Proper Divisor Sum 792,318

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #762877 ← → #762893

Radix Representation

Decimal	762882
Binary	10111010010000000010 (20 bits)
Octal	0o2722002
Hexadecimal	0xBA402

Divisor Catalog (16)

1 2 3 6 53 106 159 318 2,399 4,798 7,197 14,394 127,147 254,294 381,441 762,882

Collatz Trajectory (131 steps to reach 1)

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

762,882 381,441 1,144,324 572,162 286,081 858,244 429,122 214,561 643,684 321,842 160,921 482,764 241,382 120,691 362,074 181,037 543,112 271,556 135,778 67,889 203,668 101,834 50,917 152,752 76,376 38,188 19,094 9,547 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846

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