λ
Ratio Atlas

4,327,309

7 × 503 × 1229
Deficient Odd Composite

4,327,309 factors as 7 × 503 × 1229. Its 8 positive divisors give a proper-divisor sum of 632,051, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 7 × 503 × 1229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,959,360
Proper Divisor Sum 632,051
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4327283 ← → #4327313

Radix Representation

Decimal 4327309
Binary 10000100000011110001101 (23 bits)
Octal 0o20403615
Hexadecimal 0x42078D

Divisor Catalog (8)

1 7 503 1,229 3,521 8,603 618,187 4,327,309

Collatz Trajectory (211 steps to reach 1)

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

4,327,309 12,981,928 6,490,964 3,245,482 1,622,741 4,868,224 2,434,112 1,217,056 608,528 304,264 152,132 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580

More profiles

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