6,829,465

5 × 167 × 8179

6,829,465 factors as 5 × 167 × 8179. Its 8 positive divisors give a proper-divisor sum of 1,415,975, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 5 × 167 × 8179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,245,440

Proper Divisor Sum 1,415,975

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6829457 ← → #6829483

Radix Representation

Decimal	6829465
Binary	11010000011010110011001 (23 bits)
Octal	0o32032631
Hexadecimal	0x683599

Divisor Catalog (8)

1 5 167 835 8,179 40,895 1,365,893 6,829,465

Collatz Trajectory (129 steps to reach 1)

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

6,829,465 20,488,396 10,244,198 5,122,099 15,366,298 7,683,149 23,049,448 11,524,724 5,762,362 2,881,181 8,643,544 4,321,772 2,160,886 1,080,443 3,241,330 1,620,665 4,861,996 2,430,998 1,215,499 3,646,498 1,823,249 5,469,748 2,734,874 1,367,437 4,102,312 2,051,156 1,025,578 512,789 1,538,368 769,184 384,592 192,296 96,148 48,074 24,037 72,112 36,056 18,028 9,014 4,507 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222

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