λ
Sigma Notebook

264,780

22 × 32 × 5 × 1471
Abundant Even Composite

264,780 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 5 × 1471 and its 36 divisors sum to 803,712.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 803,712
Proper Divisor Sum 538,932
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #264779 ← → #264787

Radix Representation

Decimal 264780
Binary 1000000101001001100 (19 bits)
Octal 0o1005114
Hexadecimal 0x40A4C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1,471 2,942 4,413 5,884 7,355 8,826 13,239 14,710 17,652 22,065 26,478 29,420 44,130 52,956 66,195 88,260 132,390 264,780

Collatz Trajectory (101 steps to reach 1)

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

264,780 132,390 66,195 198,586 99,293 297,880 148,940 74,470 37,235 111,706 55,853 167,560 83,780 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281

More profiles

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