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Atlas › Integer Profiles › Node 7,020,198

7,020,198

2 × 32 × 23 × 31 × 547
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 31 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,413,696
Proper Divisor Sum 9,393,498
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7020197 ← → #7020199

Radix Representation

Decimal 7020198
Binary 11010110001111010100110 (23 bits)
Octal 0o32617246
Hexadecimal 0x6B1EA6

Divisor Catalog (48)

1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 547 558 713 1,094 1,426 1,641 2,139 3,282 4,278 4,923 6,417 9,846 12,581 12,834 16,957 25,162 33,914 37,743 50,871 75,486 101,742 113,229 152,613 226,458 305,226 390,011 780,022 1,170,033 2,340,066 3,510,099 7,020,198

Collatz Trajectory (152 steps to reach 1)

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

7,020,198 3,510,099 10,530,298 5,265,149 15,795,448 7,897,724 3,948,862 1,974,431 5,923,294 2,961,647 8,884,942 4,442,471 13,327,414 6,663,707 19,991,122 9,995,561 29,986,684 14,993,342 7,496,671 22,490,014 11,245,007 33,735,022 16,867,511 50,602,534 25,301,267 75,903,802 37,951,901 113,855,704 56,927,852 28,463,926 14,231,963 42,695,890 21,347,945 64,043,836 32,021,918 16,010,959 48,032,878 24,016,439 72,049,318 36,024,659 108,073,978 54,036,989 162,110,968 81,055,484 40,527,742 20,263,871 60,791,614 30,395,807 91,187,422 45,593,711 136,781,134 68,390,567 205,171,702 102,585,851 307,757,554 153,878,777 461,636,332 230,818,166 115,409,083 346,227,250

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