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Atlas › Integer Profiles › Node 13,320,472

13,320,472

23 × 11 × 229 × 661
Abundant Even Composite

13,320,472 factors as 2^3 × 11 × 229 × 661. Its 32 positive divisors give a proper-divisor sum of 14,086,328, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 229 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,406,800
Proper Divisor Sum 14,086,328
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #13320467 ← → #13320479

Radix Representation

Decimal 13320472
Binary 110010110100000100011000 (24 bits)
Octal 0o62640430
Hexadecimal 0xCB4118

Divisor Catalog (32)

1 2 4 8 11 22 44 88 229 458 661 916 1,322 1,832 2,519 2,644 5,038 5,288 7,271 10,076 14,542 20,152 29,084 58,168 151,369 302,738 605,476 1,210,952 1,665,059 3,330,118 6,660,236 13,320,472

Collatz Trajectory (117 steps to reach 1)

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

13,320,472 6,660,236 3,330,118 1,665,059 4,995,178 2,497,589 7,492,768 3,746,384 1,873,192 936,596 468,298 234,149 702,448 351,224 175,612 87,806 43,903 131,710 65,855 197,566 98,783 296,350 148,175 444,526 222,263 666,790 333,395 1,000,186 500,093 1,500,280 750,140 375,070 187,535 562,606 281,303 843,910 421,955 1,265,866 632,933 1,898,800 949,400 474,700 237,350 118,675 356,026 178,013 534,040 267,020 133,510 66,755 200,266 100,133 300,400 150,200 75,100 37,550 18,775 56,326 28,163 84,490

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