11,937

3 × 23 × 173

11,937 factors as 3 × 23 × 173. Its 8 positive divisors give a proper-divisor sum of 4,767, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3 × 23 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,704

Proper Divisor Sum 4,767

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #11933 ← → #11939

Radix Representation

Decimal	11937
Binary	10111010100001 (14 bits)
Octal	0o27241
Hexadecimal	0x2EA1

Divisor Catalog (8)

1 3 23 69 173 519 3,979 11,937

Collatz Trajectory (143 steps to reach 1)

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

11,937 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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