522,415

5 × 163 × 641

522,415 factors as 5 × 163 × 641. Its 8 positive divisors give a proper-divisor sum of 109,313, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 5 × 163 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 631,728

Proper Divisor Sum 109,313

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #522413 ← → #522439

Radix Representation

Decimal	522415
Binary	1111111100010101111 (19 bits)
Octal	0o1774257
Hexadecimal	0x7F8AF

Divisor Catalog (8)

1 5 163 641 815 3,205 104,483 522,415

Collatz Trajectory (133 steps to reach 1)

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

522,415 1,567,246 783,623 2,350,870 1,175,435 3,526,306 1,763,153 5,289,460 2,644,730 1,322,365 3,967,096 1,983,548 991,774 495,887 1,487,662 743,831 2,231,494 1,115,747 3,347,242 1,673,621 5,020,864 2,510,432 1,255,216 627,608 313,804 156,902 78,451 235,354 117,677 353,032 176,516 88,258 44,129 132,388 66,194 33,097 99,292 49,646 24,823 74,470 37,235 111,706 55,853 167,560 83,780 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 6,628 3,314

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