λ
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4,686,342

2 × 3 × 23 × 29 × 1171
Abundant Even Composite

4,686,342 factors as 2 × 3 × 23 × 29 × 1171. Its 32 positive divisors give a proper-divisor sum of 5,439,738, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 29 × 1171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,126,080
Proper Divisor Sum 5,439,738
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4686317 ← → #4686343

Radix Representation

Decimal 4686342
Binary 10001111000001000000110 (23 bits)
Octal 0o21701006
Hexadecimal 0x478206

Divisor Catalog (32)

1 2 3 6 23 29 46 58 69 87 138 174 667 1,171 1,334 2,001 2,342 3,513 4,002 7,026 26,933 33,959 53,866 67,918 80,799 101,877 161,598 203,754 781,057 1,562,114 2,343,171 4,686,342

Collatz Trajectory (131 steps to reach 1)

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

4,686,342 2,343,171 7,029,514 3,514,757 10,544,272 5,272,136 2,636,068 1,318,034 659,017 1,977,052 988,526 494,263 1,482,790 741,395 2,224,186 1,112,093 3,336,280 1,668,140 834,070 417,035 1,251,106 625,553 1,876,660 938,330 469,165 1,407,496 703,748 351,874 175,937 527,812 263,906 131,953 395,860 197,930 98,965 296,896 148,448 74,224 37,112 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955

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