λ
Harmonic Matrix

314,973

32 × 79 × 443
Deficient Odd Composite

314,973 has digital root 9. The neighboring primes are 314957 and 314983; its proper-divisor sum differs from the starting integer by -168,186.

Prime Factor Structure

Factorization String 3^2 × 79 × 443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 461,760
Proper Divisor Sum 146,787
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #314957 ← → #314983

Radix Representation

Decimal 314973
Binary 1001100111001011101 (19 bits)
Octal 0o1147135
Hexadecimal 0x4CE5D

Divisor Catalog (12)

1 3 9 79 237 443 711 1,329 3,987 34,997 104,991 314,973

Collatz Trajectory (140 steps to reach 1)

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

314,973 944,920 472,460 236,230 118,115 354,346 177,173 531,520 265,760 132,880 66,440 33,220 16,610 8,305 24,916 12,458 6,229 18,688 9,344 4,672 2,336 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

More profiles

← Previous Integer #314,972 Browse Full Index Next Integer #314,974 →