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Atlas › Integer Profiles › Node 5,028,310

5,028,310

2 × 5 × 7 × 29 × 2477
Abundant Even Composite

5,028,310 factors as 2 × 5 × 7 × 29 × 2477. Its 32 positive divisors give a proper-divisor sum of 5,676,650, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 29 × 2477
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,704,960
Proper Divisor Sum 5,676,650
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5028307 ← → #5028319

Radix Representation

Decimal 5028310
Binary 10011001011100111010110 (23 bits)
Octal 0o23134726
Hexadecimal 0x4CB9D6

Divisor Catalog (32)

1 2 5 7 10 14 29 35 58 70 145 203 290 406 1,015 2,030 2,477 4,954 12,385 17,339 24,770 34,678 71,833 86,695 143,666 173,390 359,165 502,831 718,330 1,005,662 2,514,155 5,028,310

Collatz Trajectory (175 steps to reach 1)

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

5,028,310 2,514,155 7,542,466 3,771,233 11,313,700 5,656,850 2,828,425 8,485,276 4,242,638 2,121,319 6,363,958 3,181,979 9,545,938 4,772,969 14,318,908 7,159,454 3,579,727 10,739,182 5,369,591 16,108,774 8,054,387 24,163,162 12,081,581 36,244,744 18,122,372 9,061,186 4,530,593 13,591,780 6,795,890 3,397,945 10,193,836 5,096,918 2,548,459 7,645,378 3,822,689 11,468,068 5,734,034 2,867,017 8,601,052 4,300,526 2,150,263 6,450,790 3,225,395 9,676,186 4,838,093 14,514,280 7,257,140 3,628,570 1,814,285 5,442,856 2,721,428 1,360,714 680,357 2,041,072 1,020,536 510,268 255,134 127,567 382,702 191,351

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