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Atlas › Integer Profiles › Node 3,073,630

3,073,630

2 × 5 × 7 × 19 × 2311
Abundant Even Composite

3,073,630 factors as 2 × 5 × 7 × 19 × 2311. Its 32 positive divisors give a proper-divisor sum of 3,584,930, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 19 × 2311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,658,560
Proper Divisor Sum 3,584,930
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3073621 ← → #3073633

Radix Representation

Decimal 3073630
Binary 1011101110011001011110 (22 bits)
Octal 0o13563136
Hexadecimal 0x2EE65E

Divisor Catalog (32)

1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1,330 2,311 4,622 11,555 16,177 23,110 32,354 43,909 80,885 87,818 161,770 219,545 307,363 439,090 614,726 1,536,815 3,073,630

Collatz Trajectory (164 steps to reach 1)

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

3,073,630 1,536,815 4,610,446 2,305,223 6,915,670 3,457,835 10,373,506 5,186,753 15,560,260 7,780,130 3,890,065 11,670,196 5,835,098 2,917,549 8,752,648 4,376,324 2,188,162 1,094,081 3,282,244 1,641,122 820,561 2,461,684 1,230,842 615,421 1,846,264 923,132 461,566 230,783 692,350 346,175 1,038,526 519,263 1,557,790 778,895 2,336,686 1,168,343 3,505,030 1,752,515 5,257,546 2,628,773 7,886,320 3,943,160 1,971,580 985,790 492,895 1,478,686 739,343 2,218,030 1,109,015 3,327,046 1,663,523 4,990,570 2,495,285 7,485,856 3,742,928 1,871,464 935,732 467,866 233,933 701,800

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