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Atlas › Integer Profiles › Node 4,493,086

4,493,086

2 × 13 × 29 × 59 × 101
Deficient Even Composite

4,493,086 factors as 2 × 13 × 29 × 59 × 101. Its 32 positive divisors give a proper-divisor sum of 3,218,114, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 59 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,711,200
Proper Divisor Sum 3,218,114
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4493081 ← → #4493129

Radix Representation

Decimal 4493086
Binary 10001001000111100011110 (23 bits)
Octal 0o21107436
Hexadecimal 0x448F1E

Divisor Catalog (32)

1 2 13 26 29 58 59 101 118 202 377 754 767 1,313 1,534 1,711 2,626 2,929 3,422 5,858 5,959 11,918 22,243 38,077 44,486 76,154 77,467 154,934 172,811 345,622 2,246,543 4,493,086

Collatz Trajectory (118 steps to reach 1)

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

4,493,086 2,246,543 6,739,630 3,369,815 10,109,446 5,054,723 15,164,170 7,582,085 22,746,256 11,373,128 5,686,564 2,843,282 1,421,641 4,264,924 2,132,462 1,066,231 3,198,694 1,599,347 4,798,042 2,399,021 7,197,064 3,598,532 1,799,266 899,633 2,698,900 1,349,450 674,725 2,024,176 1,012,088 506,044 253,022 126,511 379,534 189,767 569,302 284,651 853,954 426,977 1,280,932 640,466 320,233 960,700 480,350 240,175 720,526 360,263 1,080,790 540,395 1,621,186 810,593 2,431,780 1,215,890 607,945 1,823,836 911,918 455,959 1,367,878 683,939 2,051,818 1,025,909

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