340,468

2² × 47 × 1811

340,468 has digital root 7. The neighboring primes are 340453 and 340477; its proper-divisor sum differs from the starting integer by -72,104.

Prime Factor Structure

Factorization String 2^2 × 47 × 1811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 608,832

Proper Divisor Sum 268,364

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #340453 ← → #340477

Radix Representation

Decimal	340468
Binary	1010011000111110100 (19 bits)
Octal	0o1230764
Hexadecimal	0x531F4

Divisor Catalog (12)

1 2 4 47 94 188 1,811 3,622 7,244 85,117 170,234 340,468

Collatz Trajectory (65 steps to reach 1)

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

340,468 170,234 85,117 255,352 127,676 63,838 31,919 95,758 47,879 143,638 71,819 215,458 107,729 323,188 161,594 80,797 242,392 121,196 60,598 30,299 90,898 45,449 136,348 68,174 34,087 102,262 51,131 153,394 76,697 230,092 115,046 57,523 172,570 86,285 258,856 129,428 64,714 32,357 97,072 48,536 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10

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