520,331

7³ × 37 × 41

520,331 factors as 7^3 × 37 × 41. Its 16 positive divisors give a proper-divisor sum of 118,069, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 7^3 × 37 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 638,400

Proper Divisor Sum 118,069

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #520313 ← → #520339

Radix Representation

Decimal	520331
Binary	1111111000010001011 (19 bits)
Octal	0o1770213
Hexadecimal	0x7F08B

Divisor Catalog (16)

1 7 37 41 49 259 287 343 1,517 1,813 2,009 10,619 12,691 14,063 74,333 520,331

Collatz Trajectory (102 steps to reach 1)

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

520,331 1,560,994 780,497 2,341,492 1,170,746 585,373 1,756,120 878,060 439,030 219,515 658,546 329,273 987,820 493,910 246,955 740,866 370,433 1,111,300 555,650 277,825 833,476 416,738 208,369 625,108 312,554 156,277 468,832 234,416 117,208 58,604 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551

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