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Atlas › Integer Profiles › Node 1,443,636

1,443,636

22 × 33 × 13367
Abundant Even Composite

1,443,636 factors as 2^2 × 3^3 × 13367. Its 24 positive divisors give a proper-divisor sum of 2,299,404, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,743,040
Proper Divisor Sum 2,299,404
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1443613 ← → #1443647

Radix Representation

Decimal 1443636
Binary 101100000011100110100 (21 bits)
Octal 0o5403464
Hexadecimal 0x160734

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 13,367 26,734 40,101 53,468 80,202 120,303 160,404 240,606 360,909 481,212 721,818 1,443,636

Collatz Trajectory (67 steps to reach 1)

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

1,443,636 721,818 360,909 1,082,728 541,364 270,682 135,341 406,024 203,012 101,506 50,753 152,260 76,130 38,065 114,196 57,098 28,549 85,648 42,824 21,412 10,706 5,353 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256

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