λ
Harmonic Matrix

290,226

2 × 3 × 48371
Abundant Even Composite

290,226 has digital root 3. The neighboring primes are 290219 and 290233; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 48371
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 580,464
Proper Divisor Sum 290,238
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #290219 ← → #290233

Radix Representation

Decimal 290226
Binary 1000110110110110010 (19 bits)
Octal 0o1066662
Hexadecimal 0x46DB2

Divisor Catalog (8)

1 2 3 6 48,371 96,742 145,113 290,226

Collatz Trajectory (189 steps to reach 1)

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

290,226 145,113 435,340 217,670 108,835 326,506 163,253 489,760 244,880 122,440 61,220 30,610 15,305 45,916 22,958 11,479 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056

More profiles

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