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Atlas › Integer Profiles › Node 7,052,598

7,052,598

2 × 32 × 7 × 223 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 223 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,611,776
Proper Divisor Sum 10,559,178
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7052581 ← → #7052599

Radix Representation

Decimal 7052598
Binary 11010111001110100110110 (23 bits)
Octal 0o32716466
Hexadecimal 0x6B9D36

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 126 223 251 446 502 669 753 1,338 1,506 1,561 1,757 2,007 2,259 3,122 3,514 4,014 4,518 4,683 5,271 9,366 10,542 14,049 15,813 28,098 31,626 55,973 111,946 167,919 335,838 391,811 503,757 783,622 1,007,514 1,175,433 2,350,866 3,526,299 7,052,598

Collatz Trajectory (173 steps to reach 1)

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

7,052,598 3,526,299 10,578,898 5,289,449 15,868,348 7,934,174 3,967,087 11,901,262 5,950,631 17,851,894 8,925,947 26,777,842 13,388,921 40,166,764 20,083,382 10,041,691 30,125,074 15,062,537 45,187,612 22,593,806 11,296,903 33,890,710 16,945,355 50,836,066 25,418,033 76,254,100 38,127,050 19,063,525 57,190,576 28,595,288 14,297,644 7,148,822 3,574,411 10,723,234 5,361,617 16,084,852 8,042,426 4,021,213 12,063,640 6,031,820 3,015,910 1,507,955 4,523,866 2,261,933 6,785,800 3,392,900 1,696,450 848,225 2,544,676 1,272,338 636,169 1,908,508 954,254 477,127 1,431,382 715,691 2,147,074 1,073,537 3,220,612 1,610,306

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