9,729,620

2² × 5 × 486481

9,729,620 factors as 2^2 × 5 × 486481. Its 12 positive divisors give a proper-divisor sum of 10,702,624, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 486481

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,432,244

Proper Divisor Sum 10,702,624

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9729619 ← → #9729641

Radix Representation

Decimal	9729620
Binary	100101000111011001010100 (24 bits)
Octal	0o45073124
Hexadecimal	0x947654

Divisor Catalog (12)

1 2 4 5 10 20 486,481 972,962 1,945,924 2,432,405 4,864,810 9,729,620

Collatz Trajectory (163 steps to reach 1)

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

9,729,620 4,864,810 2,432,405 7,297,216 3,648,608 1,824,304 912,152 456,076 228,038 114,019 342,058 171,029 513,088 256,544 128,272 64,136 32,068 16,034 8,017 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,729,619 Browse Full Index Next Integer #9,729,621 →