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Atlas › Integer Profiles › Node 5,345,952

5,345,952

25 × 3 × 233 × 239
Abundant Even Composite

5,345,952 factors as 2^5 × 3 × 233 × 239. Its 48 positive divisors give a proper-divisor sum of 8,806,368, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 233 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,152,320
Proper Divisor Sum 8,806,368
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5345941 ← → #5345953

Radix Representation

Decimal 5345952
Binary 10100011001001010100000 (23 bits)
Octal 0o24311240
Hexadecimal 0x5192A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 233 239 466 478 699 717 932 956 1,398 1,434 1,864 1,912 2,796 2,868 3,728 3,824 5,592 5,736 7,456 7,648 11,184 11,472 22,368 22,944 55,687 111,374 167,061 222,748 334,122 445,496 668,244 890,992 1,336,488 1,781,984 2,672,976 5,345,952

Collatz Trajectory (113 steps to reach 1)

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

5,345,952 2,672,976 1,336,488 668,244 334,122 167,061 501,184 250,592 125,296 62,648 31,324 15,662 7,831 23,494 11,747 35,242 17,621 52,864 26,432 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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