λ
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Atlas › Integer Profiles › Node 9,702,896

9,702,896

24 × 7 × 41 × 2113
Abundant Even Composite

9,702,896 factors as 2^4 × 7 × 41 × 2113. Its 40 positive divisors give a proper-divisor sum of 12,316,528, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 41 × 2113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,019,424
Proper Divisor Sum 12,316,528
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9702883 ← → #9702899

Radix Representation

Decimal 9702896
Binary 100101000000110111110000 (24 bits)
Octal 0o45006760
Hexadecimal 0x940DF0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1,148 2,113 2,296 4,226 4,592 8,452 14,791 16,904 29,582 33,808 59,164 86,633 118,328 173,266 236,656 346,532 606,431 693,064 1,212,862 1,386,128 2,425,724 4,851,448 9,702,896

Collatz Trajectory (119 steps to reach 1)

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

9,702,896 4,851,448 2,425,724 1,212,862 606,431 1,819,294 909,647 2,728,942 1,364,471 4,093,414 2,046,707 6,140,122 3,070,061 9,210,184 4,605,092 2,302,546 1,151,273 3,453,820 1,726,910 863,455 2,590,366 1,295,183 3,885,550 1,942,775 5,828,326 2,914,163 8,742,490 4,371,245 13,113,736 6,556,868 3,278,434 1,639,217 4,917,652 2,458,826 1,229,413 3,688,240 1,844,120 922,060 461,030 230,515 691,546 345,773 1,037,320 518,660 259,330 129,665 388,996 194,498 97,249 291,748 145,874 72,937 218,812 109,406 54,703 164,110 82,055 246,166 123,083 369,250

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