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Atlas › Integer Profiles › Node 13,521,046

13,521,046

2 × 7 × 11 × 19 × 4621
Deficient Even Composite

13,521,046 factors as 2 × 7 × 11 × 19 × 4621. Its 32 positive divisors give a proper-divisor sum of 13,101,674, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 19 × 4621
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,622,720
Proper Divisor Sum 13,101,674
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #13521043 ← → #13521059

Radix Representation

Decimal 13521046
Binary 110011100101000010010110 (24 bits)
Octal 0o63450226
Hexadecimal 0xCE5096

Divisor Catalog (32)

1 2 7 11 14 19 22 38 77 133 154 209 266 418 1,463 2,926 4,621 9,242 32,347 50,831 64,694 87,799 101,662 175,598 355,817 614,593 711,634 965,789 1,229,186 1,931,578 6,760,523 13,521,046

Collatz Trajectory (86 steps to reach 1)

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

13,521,046 6,760,523 20,281,570 10,140,785 30,422,356 15,211,178 7,605,589 22,816,768 11,408,384 5,704,192 2,852,096 1,426,048 713,024 356,512 178,256 89,128 44,564 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67

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