λ
Sequence Observatory

8,236,227

3 × 163 × 16843
Deficient Odd Composite

Starting at 8,236,227, the Collatz iteration reaches 1 after 54 steps. The first transition is 24708682; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 163 × 16843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,049,664
Proper Divisor Sum 2,813,437
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8236219 ← → #8236229

Radix Representation

Decimal 8236227
Binary 11111011010110011000011 (23 bits)
Octal 0o37326303
Hexadecimal 0x7DACC3

Divisor Catalog (8)

1 3 163 489 16,843 50,529 2,745,409 8,236,227

Collatz Trajectory (54 steps to reach 1)

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

8,236,227 24,708,682 12,354,341 37,063,024 18,531,512 9,265,756 4,632,878 2,316,439 6,949,318 3,474,659 10,423,978 5,211,989 15,635,968 7,817,984 3,908,992 1,954,496 977,248 488,624 244,312 122,156 61,078 30,539 91,618 45,809 137,428 68,714 34,357 103,072 51,536 25,768 12,884 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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