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Atlas › Integer Profiles › Node 13,606,018

13,606,018

2 × 17 × 23 × 127 × 137
Deficient Even Composite

13,606,018 factors as 2 × 17 × 23 × 127 × 137. Its 32 positive divisors give a proper-divisor sum of 9,286,526, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 127 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,892,544
Proper Divisor Sum 9,286,526
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13606009 ← → #13606037

Radix Representation

Decimal 13606018
Binary 110011111001110010000010 (24 bits)
Octal 0o63716202
Hexadecimal 0xCF9C82

Divisor Catalog (32)

1 2 17 23 34 46 127 137 254 274 391 782 2,159 2,329 2,921 3,151 4,318 4,658 5,842 6,302 17,399 34,798 49,657 53,567 99,314 107,134 295,783 400,177 591,566 800,354 6,803,009 13,606,018

Collatz Trajectory (86 steps to reach 1)

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

13,606,018 6,803,009 20,409,028 10,204,514 5,102,257 15,306,772 7,653,386 3,826,693 11,480,080 5,740,040 2,870,020 1,435,010 717,505 2,152,516 1,076,258 538,129 1,614,388 807,194 403,597 1,210,792 605,396 302,698 151,349 454,048 227,024 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404

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