523,065

3 × 5 × 34871

523,065 has digital root 3. The neighboring primes are 523049 and 523093; its proper-divisor sum differs from the starting integer by -209,202.

Prime Factor Structure

Factorization String 3 × 5 × 34871

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 836,928

Proper Divisor Sum 313,863

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #523049 ← → #523093

Radix Representation

Decimal	523065
Binary	1111111101100111001 (19 bits)
Octal	0o1775471
Hexadecimal	0x7FB39

Divisor Catalog (8)

1 3 5 15 34,871 104,613 174,355 523,065

Collatz Trajectory (133 steps to reach 1)

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

523,065 1,569,196 784,598 392,299 1,176,898 588,449 1,765,348 882,674 441,337 1,324,012 662,006 331,003 993,010 496,505 1,489,516 744,758 372,379 1,117,138 558,569 1,675,708 837,854 418,927 1,256,782 628,391 1,885,174 942,587 2,827,762 1,413,881 4,241,644 2,120,822 1,060,411 3,181,234 1,590,617 4,771,852 2,385,926 1,192,963 3,578,890 1,789,445 5,368,336 2,684,168 1,342,084 671,042 335,521 1,006,564 503,282 251,641 754,924 377,462 188,731 566,194 283,097 849,292 424,646 212,323 636,970 318,485 955,456 477,728 238,864 119,432

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