λ
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Atlas › Integer Profiles › Node 7,958,482

7,958,482

2 × 72 × 172 × 281
Deficient Even Composite

7,958,482 factors as 2 × 7^2 × 17^2 × 281. Its 36 positive divisors give a proper-divisor sum of 6,845,672, so this integer is deficient. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 17^2 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,804,154
Proper Divisor Sum 6,845,672
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7958471 ← → #7958521

Radix Representation

Decimal 7958482
Binary 11110010110111111010010 (23 bits)
Octal 0o36267722
Hexadecimal 0x796FD2

Divisor Catalog (36)

1 2 7 14 17 34 49 98 119 238 281 289 562 578 833 1,666 1,967 2,023 3,934 4,046 4,777 9,554 13,769 14,161 27,538 28,322 33,439 66,878 81,209 162,418 234,073 468,146 568,463 1,136,926 3,979,241 7,958,482

Collatz Trajectory (292 steps to reach 1)

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

7,958,482 3,979,241 11,937,724 5,968,862 2,984,431 8,953,294 4,476,647 13,429,942 6,714,971 20,144,914 10,072,457 30,217,372 15,108,686 7,554,343 22,663,030 11,331,515 33,994,546 16,997,273 50,991,820 25,495,910 12,747,955 38,243,866 19,121,933 57,365,800 28,682,900 14,341,450 7,170,725 21,512,176 10,756,088 5,378,044 2,689,022 1,344,511 4,033,534 2,016,767 6,050,302 3,025,151 9,075,454 4,537,727 13,613,182 6,806,591 20,419,774 10,209,887 30,629,662 15,314,831 45,944,494 22,972,247 68,916,742 34,458,371 103,375,114 51,687,557 155,062,672 77,531,336 38,765,668 19,382,834 9,691,417 29,074,252 14,537,126 7,268,563 21,805,690 10,902,845

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