λ
Harmonic Matrix

319,346

2 × 159673
Deficient Even Composite

319,346 has digital root 8. The neighboring primes are 319343 and 319351; its proper-divisor sum differs from the starting integer by -159,670.

Prime Factor Structure

Factorization String 2 × 159673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 479,022
Proper Divisor Sum 159,676
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #319343 ← → #319351

Radix Representation

Decimal 319346
Binary 1001101111101110010 (19 bits)
Octal 0o1157562
Hexadecimal 0x4DF72

Divisor Catalog (4)

1 2 159,673 319,346

Collatz Trajectory (78 steps to reach 1)

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

319,346 159,673 479,020 239,510 119,755 359,266 179,633 538,900 269,450 134,725 404,176 202,088 101,044 50,522 25,261 75,784 37,892 18,946 9,473 28,420 14,210 7,105 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58

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