829,671

3 × 276557

829,671 factors as 3 × 276557. Its 4 positive divisors give a proper-divisor sum of 276,561, so this integer is deficient. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 3 × 276557

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,106,232

Proper Divisor Sum 276,561

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #829657 ← → #829687

Radix Representation

Decimal	829671
Binary	11001010100011100111 (20 bits)
Octal	0o3124347
Hexadecimal	0xCA8E7

Divisor Catalog (4)

1 3 276,557 829,671

Collatz Trajectory (250 steps to reach 1)

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

829,671 2,489,014 1,244,507 3,733,522 1,866,761 5,600,284 2,800,142 1,400,071 4,200,214 2,100,107 6,300,322 3,150,161 9,450,484 4,725,242 2,362,621 7,087,864 3,543,932 1,771,966 885,983 2,657,950 1,328,975 3,986,926 1,993,463 5,980,390 2,990,195 8,970,586 4,485,293 13,455,880 6,727,940 3,363,970 1,681,985 5,045,956 2,522,978 1,261,489 3,784,468 1,892,234 946,117 2,838,352 1,419,176 709,588 354,794 177,397 532,192 266,096 133,048 66,524 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576

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