λ
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Atlas › Integer Profiles › Node 13,309,366

13,309,366

2 × 7 × 47 × 113 × 179
Deficient Even Composite

13,309,366 factors as 2 × 7 × 47 × 113 × 179. Its 32 positive divisors give a proper-divisor sum of 10,329,674, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 7 × 47 × 113 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,639,040
Proper Divisor Sum 10,329,674
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13309363 ← → #13309369

Radix Representation

Decimal 13309366
Binary 110010110001010110110110 (24 bits)
Octal 0o62612666
Hexadecimal 0xCB15B6

Divisor Catalog (32)

1 2 7 14 47 94 113 179 226 329 358 658 791 1,253 1,582 2,506 5,311 8,413 10,622 16,826 20,227 37,177 40,454 58,891 74,354 117,782 141,589 283,178 950,669 1,901,338 6,654,683 13,309,366

Collatz Trajectory (241 steps to reach 1)

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

13,309,366 6,654,683 19,964,050 9,982,025 29,946,076 14,973,038 7,486,519 22,459,558 11,229,779 33,689,338 16,844,669 50,534,008 25,267,004 12,633,502 6,316,751 18,950,254 9,475,127 28,425,382 14,212,691 42,638,074 21,319,037 63,957,112 31,978,556 15,989,278 7,994,639 23,983,918 11,991,959 35,975,878 17,987,939 53,963,818 26,981,909 80,945,728 40,472,864 20,236,432 10,118,216 5,059,108 2,529,554 1,264,777 3,794,332 1,897,166 948,583 2,845,750 1,422,875 4,268,626 2,134,313 6,402,940 3,201,470 1,600,735 4,802,206 2,401,103 7,203,310 3,601,655 10,804,966 5,402,483 16,207,450 8,103,725 24,311,176 12,155,588 6,077,794 3,038,897

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