λ
Sequence Observatory

4,320,272

24 × 11 × 24547
Abundant Even Composite

Starting at 4,320,272, the Collatz iteration reaches 1 after 66 steps. The first transition is 2160136; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 24547
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,131,856
Proper Divisor Sum 4,811,584
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4320269 ← → #4320299

Radix Representation

Decimal 4320272
Binary 10000011110110000010000 (23 bits)
Octal 0o20366020
Hexadecimal 0x41EC10

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 24,547 49,094 98,188 196,376 270,017 392,752 540,034 1,080,068 2,160,136 4,320,272

Collatz Trajectory (66 steps to reach 1)

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

4,320,272 2,160,136 1,080,068 540,034 270,017 810,052 405,026 202,513 607,540 303,770 151,885 455,656 227,828 113,914 56,957 170,872 85,436 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128

More profiles

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