520,365

3 × 5 × 113 × 307

520,365 factors as 3 × 5 × 113 × 307. Its 16 positive divisors give a proper-divisor sum of 322,323, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 3 × 5 × 113 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 842,688

Proper Divisor Sum 322,323

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #520363 ← → #520369

Radix Representation

Decimal	520365
Binary	1111111000010101101 (19 bits)
Octal	0o1770255
Hexadecimal	0x7F0AD

Divisor Catalog (16)

1 3 5 15 113 307 339 565 921 1,535 1,695 4,605 34,691 104,073 173,455 520,365

Collatz Trajectory (76 steps to reach 1)

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

520,365 1,561,096 780,548 390,274 195,137 585,412 292,706 146,353 439,060 219,530 109,765 329,296 164,648 82,324 41,162 20,581 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92

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