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Atlas › Integer Profiles › Node 5,453,340

5,453,340

22 × 3 × 5 × 97 × 937
Abundant Even Composite

5,453,340 factors as 2^2 × 3 × 5 × 97 × 937. Its 48 positive divisors give a proper-divisor sum of 9,989,892, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 97 × 937
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,443,232
Proper Divisor Sum 9,989,892
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5453317 ← → #5453341

Radix Representation

Decimal 5453340
Binary 10100110011011000011100 (23 bits)
Octal 0o24633034
Hexadecimal 0x53361C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 937 970 1,164 1,455 1,874 1,940 2,811 2,910 3,748 4,685 5,622 5,820 9,370 11,244 14,055 18,740 28,110 56,220 90,889 181,778 272,667 363,556 454,445 545,334 908,890 1,090,668 1,363,335 1,817,780 2,726,670 5,453,340

Collatz Trajectory (108 steps to reach 1)

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

5,453,340 2,726,670 1,363,335 4,090,006 2,045,003 6,135,010 3,067,505 9,202,516 4,601,258 2,300,629 6,901,888 3,450,944 1,725,472 862,736 431,368 215,684 107,842 53,921 161,764 80,882 40,441 121,324 60,662 30,331 90,994 45,497 136,492 68,246 34,123 102,370 51,185 153,556 76,778 38,389 115,168 57,584 28,792 14,396 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962

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