337,224

2³ × 3 × 14051

337,224 has digital root 3. The neighboring primes are 337223 and 337261; its proper-divisor sum differs from the starting integer by 168,672.

Prime Factor Structure

Factorization String 2^3 × 3 × 14051

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 843,120

Proper Divisor Sum 505,896

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #337223 ← → #337261

Radix Representation

Decimal	337224
Binary	1010010010101001000 (19 bits)
Octal	0o1222510
Hexadecimal	0x52548

Divisor Catalog (16)

1 2 3 4 6 8 12 24 14,051 28,102 42,153 56,204 84,306 112,408 168,612 337,224

Collatz Trajectory (184 steps to reach 1)

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

337,224 168,612 84,306 42,153 126,460 63,230 31,615 94,846 47,423 142,270 71,135 213,406 106,703 320,110 160,055 480,166 240,083 720,250 360,125 1,080,376 540,188 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850

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