521,324

2² × 47² × 59

For 521,324, the 18 positive divisors have a total of 947,940. Removing 521,324 leaves 426,616, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 47^2 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 947,940

Proper Divisor Sum 426,616

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #521317 ← → #521329

Radix Representation

Decimal	521324
Binary	1111111010001101100 (19 bits)
Octal	0o1772154
Hexadecimal	0x7F46C

Divisor Catalog (18)

1 2 4 47 59 94 118 188 236 2,209 2,773 4,418 5,546 8,836 11,092 130,331 260,662 521,324

Collatz Trajectory (151 steps to reach 1)

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

521,324 260,662 130,331 390,994 195,497 586,492 293,246 146,623 439,870 219,935 659,806 329,903 989,710 494,855 1,484,566 742,283 2,226,850 1,113,425 3,340,276 1,670,138 835,069 2,505,208 1,252,604 626,302 313,151 939,454 469,727 1,409,182 704,591 2,113,774 1,056,887 3,170,662 1,585,331 4,755,994 2,377,997 7,133,992 3,566,996 1,783,498 891,749 2,675,248 1,337,624 668,812 334,406 167,203 501,610 250,805 752,416 376,208 188,104 94,052 47,026 23,513 70,540 35,270 17,635 52,906 26,453 79,360 39,680 19,840

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