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Atlas › Integer Profiles › Node 10,696,488

10,696,488

23 × 3 × 11 × 31 × 1307
Abundant Even Composite

10,696,488 factors as 2^3 × 3 × 11 × 31 × 1307. Its 64 positive divisors give a proper-divisor sum of 19,439,832, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 31 × 1307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,136,320
Proper Divisor Sum 19,439,832
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #10696453 ← → #10696489

Radix Representation

Decimal 10696488
Binary 101000110011011100101000 (24 bits)
Octal 0o50633450
Hexadecimal 0xA33728

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1,023 1,307 1,364 2,046 2,614 2,728 3,921 4,092 5,228 7,842 8,184 10,456 14,377 15,684 28,754 31,368 40,517 43,131 57,508 81,034 86,262 115,016 121,551 162,068 172,524 243,102 324,136 345,048 445,687 486,204 891,374 972,408 1,337,061 1,782,748

Collatz Trajectory (70 steps to reach 1)

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

10,696,488 5,348,244 2,674,122 1,337,061 4,011,184 2,005,592 1,002,796 501,398 250,699 752,098 376,049 1,128,148 564,074 282,037 846,112 423,056 211,528 105,764 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53

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