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Atlas › Integer Profiles › Node 11,509,982

11,509,982

2 × 11 × 233 × 43
Deficient Even Composite

11,509,982 factors as 2 × 11 × 23^3 × 43. Its 32 positive divisors give a proper-divisor sum of 8,638,498, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2 × 11 × 23^3 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,148,480
Proper Divisor Sum 8,638,498
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #11509973 ← → #11509999

Radix Representation

Decimal 11509982
Binary 101011111010000011011110 (24 bits)
Octal 0o53720336
Hexadecimal 0xAFA0DE

Divisor Catalog (32)

1 2 11 22 23 43 46 86 253 473 506 529 946 989 1,058 1,978 5,819 10,879 11,638 12,167 21,758 22,747 24,334 45,494 133,837 250,217 267,674 500,434 523,181 1,046,362 5,754,991 11,509,982

Collatz Trajectory (109 steps to reach 1)

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

11,509,982 5,754,991 17,264,974 8,632,487 25,897,462 12,948,731 38,846,194 19,423,097 58,269,292 29,134,646 14,567,323 43,701,970 21,850,985 65,552,956 32,776,478 16,388,239 49,164,718 24,582,359 73,747,078 36,873,539 110,620,618 55,310,309 165,930,928 82,965,464 41,482,732 20,741,366 10,370,683 31,112,050 15,556,025 46,668,076 23,334,038 11,667,019 35,001,058 17,500,529 52,501,588 26,250,794 13,125,397 39,376,192 19,688,096 9,844,048 4,922,024 2,461,012 1,230,506 615,253 1,845,760 922,880 461,440 230,720 115,360 57,680 28,840 14,420 7,210 3,605 10,816 5,408 2,704 1,352 676 338

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