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Atlas › Integer Profiles › Node 13,263,460

13,263,460

22 × 5 × 7 × 211 × 449
Abundant Even Composite

13,263,460 factors as 2^2 × 5 × 7 × 211 × 449. Its 48 positive divisors give a proper-divisor sum of 18,790,940, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 211 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,054,400
Proper Divisor Sum 18,790,940
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13263457 ← → #13263487

Radix Representation

Decimal 13263460
Binary 110010100110001001100100 (24 bits)
Octal 0o62461144
Hexadecimal 0xCA6264

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 211 422 449 844 898 1,055 1,477 1,796 2,110 2,245 2,954 3,143 4,220 4,490 5,908 6,286 7,385 8,980 12,572 14,770 15,715 29,540 31,430 62,860 94,739 189,478 378,956 473,695 663,173 947,390 1,326,346 1,894,780 2,652,692 3,315,865 6,631,730 13,263,460

Collatz Trajectory (117 steps to reach 1)

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

13,263,460 6,631,730 3,315,865 9,947,596 4,973,798 2,486,899 7,460,698 3,730,349 11,191,048 5,595,524 2,797,762 1,398,881 4,196,644 2,098,322 1,049,161 3,147,484 1,573,742 786,871 2,360,614 1,180,307 3,540,922 1,770,461 5,311,384 2,655,692 1,327,846 663,923 1,991,770 995,885 2,987,656 1,493,828 746,914 373,457 1,120,372 560,186 280,093 840,280 420,140 210,070 105,035 315,106 157,553 472,660 236,330 118,165 354,496 177,248 88,624 44,312 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338

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