4,201,306

2 × 31 × 67763

4,201,306 factors as 2 × 31 × 67763. Its 8 positive divisors give a proper-divisor sum of 2,304,038, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 31 × 67763

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,505,344

Proper Divisor Sum 2,304,038

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4201303 ← → #4201319

Radix Representation

Decimal	4201306
Binary	10000000001101101011010 (23 bits)
Octal	0o20015532
Hexadecimal	0x401B5A

Divisor Catalog (8)

1 2 31 62 67,763 135,526 2,100,653 4,201,306

Collatz Trajectory (105 steps to reach 1)

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

4,201,306 2,100,653 6,301,960 3,150,980 1,575,490 787,745 2,363,236 1,181,618 590,809 1,772,428 886,214 443,107 1,329,322 664,661 1,993,984 996,992 498,496 249,248 124,624 62,312 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742

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