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Atlas › Integer Profiles › Node 5,659,976

5,659,976

23 × 7 × 53 × 1907
Abundant Even Composite

5,659,976 factors as 2^3 × 7 × 53 × 1907. Its 32 positive divisors give a proper-divisor sum of 6,703,864, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 53 × 1907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,363,840
Proper Divisor Sum 6,703,864
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5659957 ← → #5659987

Radix Representation

Decimal 5659976
Binary 10101100101110101001000 (23 bits)
Octal 0o25456510
Hexadecimal 0x565D48

Divisor Catalog (32)

1 2 4 7 8 14 28 53 56 106 212 371 424 742 1,484 1,907 2,968 3,814 7,628 13,349 15,256 26,698 53,396 101,071 106,792 202,142 404,284 707,497 808,568 1,414,994 2,829,988 5,659,976

Collatz Trajectory (108 steps to reach 1)

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

5,659,976 2,829,988 1,414,994 707,497 2,122,492 1,061,246 530,623 1,591,870 795,935 2,387,806 1,193,903 3,581,710 1,790,855 5,372,566 2,686,283 8,058,850 4,029,425 12,088,276 6,044,138 3,022,069 9,066,208 4,533,104 2,266,552 1,133,276 566,638 283,319 849,958 424,979 1,274,938 637,469 1,912,408 956,204 478,102 239,051 717,154 358,577 1,075,732 537,866 268,933 806,800 403,400 201,700 100,850 50,425 151,276 75,638 37,819 113,458 56,729 170,188 85,094 42,547 127,642 63,821 191,464 95,732 47,866 23,933 71,800 35,900

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