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Atlas › Integer Profiles › Node 3,220,848

3,220,848

24 × 32 × 22367
Abundant Even Composite

3,220,848 factors as 2^4 × 3^2 × 22367. Its 30 positive divisors give a proper-divisor sum of 5,793,456, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 22367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 9,014,304
Proper Divisor Sum 5,793,456
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3220831 ← → #3220849

Radix Representation

Decimal 3220848
Binary 1100010010010101110000 (22 bits)
Octal 0o14222560
Hexadecimal 0x312570

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 22,367 44,734 67,101 89,468 134,202 178,936 201,303 268,404 357,872 402,606 536,808 805,212 1,073,616 1,610,424 3,220,848

Collatz Trajectory (208 steps to reach 1)

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

3,220,848 1,610,424 805,212 402,606 201,303 603,910 301,955 905,866 452,933 1,358,800 679,400 339,700 169,850 84,925 254,776 127,388 63,694 31,847 95,542 47,771 143,314 71,657 214,972 107,486 53,743 161,230 80,615 241,846 120,923 362,770 181,385 544,156 272,078 136,039 408,118 204,059 612,178 306,089 918,268 459,134 229,567 688,702 344,351 1,033,054 516,527 1,549,582 774,791 2,324,374 1,162,187 3,486,562 1,743,281 5,229,844 2,614,922 1,307,461 3,922,384 1,961,192 980,596 490,298 245,149 735,448

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