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Atlas › Integer Profiles › Node 26,314,536

26,314,536

23 × 3 × 31 × 113 × 313
Abundant Even Composite

26,314,536 factors as 2^3 × 3 × 31 × 113 × 313. Its 64 positive divisors give a proper-divisor sum of 42,413,784, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 113 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 68,728,320
Proper Divisor Sum 42,413,784
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #26314523 ← → #26314537

Radix Representation

Decimal 26314536
Binary 1100100011000011100101000 (25 bits)
Octal 0o144303450
Hexadecimal 0x1918728

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 31 62 93 113 124 186 226 248 313 339 372 452 626 678 744 904 939 1,252 1,356 1,878 2,504 2,712 3,503 3,756 7,006 7,512 9,703 10,509 14,012 19,406 21,018 28,024 29,109 35,369 38,812 42,036 58,218 70,738 77,624 84,072 106,107 116,436 141,476 212,214 232,872 282,952 424,428 848,856 1,096,439 2,192,878 3,289,317 4,385,756

Collatz Trajectory (92 steps to reach 1)

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

26,314,536 13,157,268 6,578,634 3,289,317 9,867,952 4,933,976 2,466,988 1,233,494 616,747 1,850,242 925,121 2,775,364 1,387,682 693,841 2,081,524 1,040,762 520,381 1,561,144 780,572 390,286 195,143 585,430 292,715 878,146 439,073 1,317,220 658,610 329,305 987,916 493,958 246,979 740,938 370,469 1,111,408 555,704 277,852 138,926 69,463 208,390 104,195 312,586 156,293 468,880 234,440 117,220 58,610 29,305 87,916 43,958 21,979 65,938 32,969 98,908 49,454 24,727 74,182 37,091 111,274 55,637 166,912

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