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Atlas › Integer Profiles › Node 7,051,608

7,051,608

23 × 32 × 37 × 2647
Abundant Even Composite

7,051,608 factors as 2^3 × 3^2 × 37 × 2647. Its 48 positive divisors give a proper-divisor sum of 12,570,072, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 37 × 2647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,621,680
Proper Divisor Sum 12,570,072
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7051607 ← → #7051633

Radix Representation

Decimal 7051608
Binary 11010111001100101011000 (23 bits)
Octal 0o32714530
Hexadecimal 0x6B9958

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1,332 2,647 2,664 5,294 7,941 10,588 15,882 21,176 23,823 31,764 47,646 63,528 95,292 97,939 190,584 195,878 293,817 391,756 587,634 783,512 881,451 1,175,268 1,762,902 2,350,536 3,525,804 7,051,608

Collatz Trajectory (160 steps to reach 1)

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

7,051,608 3,525,804 1,762,902 881,451 2,644,354 1,322,177 3,966,532 1,983,266 991,633 2,974,900 1,487,450 743,725 2,231,176 1,115,588 557,794 278,897 836,692 418,346 209,173 627,520 313,760 156,880 78,440 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214

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