λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,729,240

9,729,240

23 × 3 × 5 × 81077
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 81077
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,188,080
Proper Divisor Sum 19,458,840
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9729227 ← → #9729241

Radix Representation

Decimal 9729240
Binary 100101000111010011011000 (24 bits)
Octal 0o45072330
Hexadecimal 0x9474D8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 81,077 162,154 243,231 324,308 405,385 486,462 648,616 810,770 972,924 1,216,155 1,621,540 1,945,848 2,432,310 3,243,080 4,864,620 9,729,240

Collatz Trajectory (132 steps to reach 1)

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

9,729,240 4,864,620 2,432,310 1,216,155 3,648,466 1,824,233 5,472,700 2,736,350 1,368,175 4,104,526 2,052,263 6,156,790 3,078,395 9,235,186 4,617,593 13,852,780 6,926,390 3,463,195 10,389,586 5,194,793 15,584,380 7,792,190 3,896,095 11,688,286 5,844,143 17,532,430 8,766,215 26,298,646 13,149,323 39,447,970 19,723,985 59,171,956 29,585,978 14,792,989 44,378,968 22,189,484 11,094,742 5,547,371 16,642,114 8,321,057 24,963,172 12,481,586 6,240,793 18,722,380 9,361,190 4,680,595 14,041,786 7,020,893 21,062,680 10,531,340 5,265,670 2,632,835 7,898,506 3,949,253 11,847,760 5,923,880 2,961,940 1,480,970 740,485 2,221,456

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,729,239 Browse Full Index Next Integer #9,729,241 →