524,563

13 × 40351

524,563 has digital root 7. The neighboring primes are 524521 and 524591; its proper-divisor sum differs from the starting integer by -484,198.

Prime Factor Structure

Factorization String 13 × 40351

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 564,928

Proper Divisor Sum 40,365

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #524521 ← → #524591

Radix Representation

Decimal	524563
Binary	10000000000100010011 (20 bits)
Octal	0o2000423
Hexadecimal	0x80113

Divisor Catalog (4)

1 13 40,351 524,563

Collatz Trajectory (226 steps to reach 1)

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

524,563 1,573,690 786,845 2,360,536 1,180,268 590,134 295,067 885,202 442,601 1,327,804 663,902 331,951 995,854 497,927 1,493,782 746,891 2,240,674 1,120,337 3,361,012 1,680,506 840,253 2,520,760 1,260,380 630,190 315,095 945,286 472,643 1,417,930 708,965 2,126,896 1,063,448 531,724 265,862 132,931 398,794 199,397 598,192 299,096 149,548 74,774 37,387 112,162 56,081 168,244 84,122 42,061 126,184 63,092 31,546 15,773 47,320 23,660 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966

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