6,492,500

2² × 5⁴ × 7² × 53

6,492,500 factors as 2^2 × 5^4 × 7^2 × 53. Its 90 positive divisors give a proper-divisor sum of 10,334,926, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 7^2 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 16,827,426

Proper Divisor Sum 10,334,926

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6492467 ← → #6492503

Radix Representation

Decimal	6492500
Binary	11000110001000101010100 (23 bits)
Octal	0o30610524
Hexadecimal	0x631154

Divisor Catalog (60 of 90)

1 2 4 5 7 10 14 20 25 28 35 49 50 53 70 98 100 106 125 140 175 196 212 245 250 265 350 371 490 500 530 625 700 742 875 980 1,060 1,225 1,250 1,325 1,484 1,750 1,855 2,450 2,500 2,597 2,650 3,500 3,710 4,375 4,900 5,194 5,300 6,125 6,625 7,420 8,750 9,275 10,388 12,250

Collatz Trajectory (64 steps to reach 1)

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

6,492,500 3,246,250 1,623,125 4,869,376 2,434,688 1,217,344 608,672 304,336 152,168 76,084 38,042 19,021 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32

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