167,499

3² × 37 × 503

167,499 factors as 3^2 × 37 × 503. Its 12 positive divisors give a proper-divisor sum of 81,477, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 248,976

Proper Divisor Sum 81,477

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #167491 ← → #167521

Radix Representation

Decimal	167499
Binary	101000111001001011 (18 bits)
Octal	0o507113
Hexadecimal	0x28E4B

Divisor Catalog (12)

1 3 9 37 111 333 503 1,509 4,527 18,611 55,833 167,499

Collatz Trajectory (90 steps to reach 1)

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

167,499 502,498 251,249 753,748 376,874 188,437 565,312 282,656 141,328 70,664 35,332 17,666 8,833 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064

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