520,536

2³ × 3 × 23² × 41

520,536 is even and not a perfect square. Its factorization is 2^3 × 3 × 23^2 × 41 and its 48 divisors sum to 1,393,560.

Prime Factor Structure

Factorization String 2^3 × 3 × 23^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,393,560

Proper Divisor Sum 873,024

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #520529 ← → #520547

Radix Representation

Decimal	520536
Binary	1111111000101011000 (19 bits)
Octal	0o1770530
Hexadecimal	0x7F158

Divisor Catalog (48)

1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 529 552 943 984 1,058 1,587 1,886 2,116 2,829 3,174 3,772 4,232 5,658 6,348 7,544 11,316 12,696 21,689 22,632 43,378 65,067 86,756 130,134 173,512 260,268 520,536

Collatz Trajectory (133 steps to reach 1)

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

520,536 260,268 130,134 65,067 195,202 97,601 292,804 146,402 73,201 219,604 109,802 54,901 164,704 82,352 41,176 20,588 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817

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