λ
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4,493,022

2 × 3 × 53 × 71 × 199
Abundant Even Composite

4,493,022 factors as 2 × 3 × 53 × 71 × 199. Its 32 positive divisors give a proper-divisor sum of 4,838,178, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 71 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,331,200
Proper Divisor Sum 4,838,178
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4493009 ← → #4493023

Radix Representation

Decimal 4493022
Binary 10001001000111011011110 (23 bits)
Octal 0o21107336
Hexadecimal 0x448EDE

Divisor Catalog (32)

1 2 3 6 53 71 106 142 159 199 213 318 398 426 597 1,194 3,763 7,526 10,547 11,289 14,129 21,094 22,578 28,258 31,641 42,387 63,282 84,774 748,837 1,497,674 2,246,511 4,493,022

Collatz Trajectory (193 steps to reach 1)

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

4,493,022 2,246,511 6,739,534 3,369,767 10,109,302 5,054,651 15,163,954 7,581,977 22,745,932 11,372,966 5,686,483 17,059,450 8,529,725 25,589,176 12,794,588 6,397,294 3,198,647 9,595,942 4,797,971 14,393,914 7,196,957 21,590,872 10,795,436 5,397,718 2,698,859 8,096,578 4,048,289 12,144,868 6,072,434 3,036,217 9,108,652 4,554,326 2,277,163 6,831,490 3,415,745 10,247,236 5,123,618 2,561,809 7,685,428 3,842,714 1,921,357 5,764,072 2,882,036 1,441,018 720,509 2,161,528 1,080,764 540,382 270,191 810,574 405,287 1,215,862 607,931 1,823,794 911,897 2,735,692 1,367,846 683,923 2,051,770 1,025,885

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