531,315

3² × 5 × 11807

531,315 has digital root 9. The neighboring primes are 531299 and 531331; its proper-divisor sum differs from the starting integer by -141,606.

Prime Factor Structure

Factorization String 3^2 × 5 × 11807

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 921,024

Proper Divisor Sum 389,709

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #531299 ← → #531331

Radix Representation

Decimal	531315
Binary	10000001101101110011 (20 bits)
Octal	0o2015563
Hexadecimal	0x81B73

Divisor Catalog (12)

1 3 5 9 15 45 11,807 35,421 59,035 106,263 177,105 531,315

Collatz Trajectory (164 steps to reach 1)

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

531,315 1,593,946 796,973 2,390,920 1,195,460 597,730 298,865 896,596 448,298 224,149 672,448 336,224 168,112 84,056 42,028 21,014 10,507 31,522 15,761 47,284 23,642 11,821 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94

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