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Atlas › Integer Profiles › Node 26,344,305

26,344,305

33 × 5 × 13 × 17 × 883
Abundant Odd Composite

26,344,305 factors as 3^3 × 5 × 13 × 17 × 883. Its 64 positive divisors give a proper-divisor sum of 27,120,015, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 13 × 17 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 53,464,320
Proper Divisor Sum 27,120,015
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26344303 ← → #26344309

Radix Representation

Decimal 26344305
Binary 1100100011111101101110001 (25 bits)
Octal 0o144375561
Hexadecimal 0x191FB71

Divisor Catalog (60 of 64)

1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 351 459 585 663 765 883 1,105 1,755 1,989 2,295 2,649 3,315 4,415 5,967 7,947 9,945 11,479 13,245 15,011 23,841 29,835 34,437 39,735 45,033 57,395 75,055 103,311 119,205 135,099 172,185 195,143 225,165 309,933 405,297 516,555 585,429 675,495 975,715 1,549,665 1,756,287 2,026,485

Collatz Trajectory (123 steps to reach 1)

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

26,344,305 79,032,916 39,516,458 19,758,229 59,274,688 29,637,344 14,818,672 7,409,336 3,704,668 1,852,334 926,167 2,778,502 1,389,251 4,167,754 2,083,877 6,251,632 3,125,816 1,562,908 781,454 390,727 1,172,182 586,091 1,758,274 879,137 2,637,412 1,318,706 659,353 1,978,060 989,030 494,515 1,483,546 741,773 2,225,320 1,112,660 556,330 278,165 834,496 417,248 208,624 104,312 52,156 26,078 13,039 39,118 19,559 58,678 29,339 88,018 44,009 132,028 66,014 33,007 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102

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