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Atlas › Integer Profiles › Node 7,059,208

7,059,208

23 × 13 × 103 × 659
Abundant Even Composite

7,059,208 factors as 2^3 × 13 × 103 × 659. Its 32 positive divisors give a proper-divisor sum of 7,355,192, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 103 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,414,400
Proper Divisor Sum 7,355,192
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7059179 ← → #7059211

Radix Representation

Decimal 7059208
Binary 11010111011011100001000 (23 bits)
Octal 0o32733410
Hexadecimal 0x6BB708

Divisor Catalog (32)

1 2 4 8 13 26 52 103 104 206 412 659 824 1,318 1,339 2,636 2,678 5,272 5,356 8,567 10,712 17,134 34,268 67,877 68,536 135,754 271,508 543,016 882,401 1,764,802 3,529,604 7,059,208

Collatz Trajectory (160 steps to reach 1)

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

7,059,208 3,529,604 1,764,802 882,401 2,647,204 1,323,602 661,801 1,985,404 992,702 496,351 1,489,054 744,527 2,233,582 1,116,791 3,350,374 1,675,187 5,025,562 2,512,781 7,538,344 3,769,172 1,884,586 942,293 2,826,880 1,413,440 706,720 353,360 176,680 88,340 44,170 22,085 66,256 33,128 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214

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