521,952

2⁵ × 3 × 5437

For 521,952, the 24 positive divisors have a total of 1,370,376. Removing 521,952 leaves 848,424, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 5437

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,370,376

Proper Divisor Sum 848,424

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #521929 ← → #521981

Radix Representation

Decimal	521952
Binary	1111111011011100000 (19 bits)
Octal	0o1773340
Hexadecimal	0x7F6E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 5,437 10,874 16,311 21,748 32,622 43,496 65,244 86,992 130,488 173,984 260,976 521,952

Collatz Trajectory (133 steps to reach 1)

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

521,952 260,976 130,488 65,244 32,622 16,311 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314

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