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Atlas › Integer Profiles › Node 5,118,420

5,118,420

22 × 3 × 5 × 23 × 3709
Abundant Even Composite

5,118,420 factors as 2^2 × 3 × 5 × 23 × 3709. Its 48 positive divisors give a proper-divisor sum of 9,840,300, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 23 × 3709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,958,720
Proper Divisor Sum 9,840,300
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5118409 ← → #5118431

Radix Representation

Decimal 5118420
Binary 10011100001100111010100 (23 bits)
Octal 0o23414724
Hexadecimal 0x4E19D4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1,380 3,709 7,418 11,127 14,836 18,545 22,254 37,090 44,508 55,635 74,180 85,307 111,270 170,614 222,540 255,921 341,228 426,535 511,842 853,070 1,023,684 1,279,605 1,706,140 2,559,210 5,118,420

Collatz Trajectory (82 steps to reach 1)

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

5,118,420 2,559,210 1,279,605 3,838,816 1,919,408 959,704 479,852 239,926 119,963 359,890 179,945 539,836 269,918 134,959 404,878 202,439 607,318 303,659 910,978 455,489 1,366,468 683,234 341,617 1,024,852 512,426 256,213 768,640 384,320 192,160 96,080 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152

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