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Atlas › Integer Profiles › Node 7,090,974

7,090,974

2 × 32 × 11 × 59 × 607
Abundant Even Composite

7,090,974 factors as 2 × 3^2 × 11 × 59 × 607. Its 48 positive divisors give a proper-divisor sum of 9,981,666, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 59 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,072,640
Proper Divisor Sum 9,981,666
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7090957 ← → #7090981

Radix Representation

Decimal 7090974
Binary 11011000011001100011110 (23 bits)
Octal 0o33031436
Hexadecimal 0x6C331E

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 607 649 1,062 1,214 1,298 1,821 1,947 3,642 3,894 5,463 5,841 6,677 10,926 11,682 13,354 20,031 35,813 40,062 60,093 71,626 107,439 120,186 214,878 322,317 393,943 644,634 787,886 1,181,829 2,363,658 3,545,487 7,090,974

Collatz Trajectory (235 steps to reach 1)

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

7,090,974 3,545,487 10,636,462 5,318,231 15,954,694 7,977,347 23,932,042 11,966,021 35,898,064 17,949,032 8,974,516 4,487,258 2,243,629 6,730,888 3,365,444 1,682,722 841,361 2,524,084 1,262,042 631,021 1,893,064 946,532 473,266 236,633 709,900 354,950 177,475 532,426 266,213 798,640 399,320 199,660 99,830 49,915 149,746 74,873 224,620 112,310 56,155 168,466 84,233 252,700 126,350 63,175 189,526 94,763 284,290 142,145 426,436 213,218 106,609 319,828 159,914 79,957 239,872 119,936 59,968 29,984 14,992 7,496

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