λ
Prime Ledger

31,173

3 × 10391
Deficient Odd Composite

31,173 has the prime decomposition 3 × 10391. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 10391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 41,568
Proper Divisor Sum 10,395
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #31159 ← → #31177

Radix Representation

Decimal 31173
Binary 111100111000101 (15 bits)
Octal 0o74705
Hexadecimal 0x79C5

Divisor Catalog (4)

1 3 10,391 31,173

Collatz Trajectory (103 steps to reach 1)

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

31,173 93,520 46,760 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

More profiles

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