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Atlas › Integer Profiles › Node 7,053,075

7,053,075

38 × 52 × 43
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^8 × 5^2 × 43
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 13,423,124
Proper Divisor Sum 6,370,049
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7053049 ← → #7053127

Radix Representation

Decimal 7053075
Binary 11010111001111100010011 (23 bits)
Octal 0o32717423
Hexadecimal 0x6B9F13

Divisor Catalog (54)

1 3 5 9 15 25 27 43 45 75 81 129 135 215 225 243 387 405 645 675 729 1,075 1,161 1,215 1,935 2,025 2,187 3,225 3,483 3,645 5,805 6,075 6,561 9,675 10,449 10,935 17,415 18,225 29,025 31,347 32,805 52,245 54,675 87,075 94,041 156,735 164,025 261,225 282,123 470,205 783,675 1,410,615 2,351,025 7,053,075

Collatz Trajectory (297 steps to reach 1)

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

7,053,075 21,159,226 10,579,613 31,738,840 15,869,420 7,934,710 3,967,355 11,902,066 5,951,033 17,853,100 8,926,550 4,463,275 13,389,826 6,694,913 20,084,740 10,042,370 5,021,185 15,063,556 7,531,778 3,765,889 11,297,668 5,648,834 2,824,417 8,473,252 4,236,626 2,118,313 6,354,940 3,177,470 1,588,735 4,766,206 2,383,103 7,149,310 3,574,655 10,723,966 5,361,983 16,085,950 8,042,975 24,128,926 12,064,463 36,193,390 18,096,695 54,290,086 27,145,043 81,435,130 40,717,565 122,152,696 61,076,348 30,538,174 15,269,087 45,807,262 22,903,631 68,710,894 34,355,447 103,066,342 51,533,171 154,599,514 77,299,757 231,899,272 115,949,636 57,974,818

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