λ
Harmonic Matrix

467,274

2 × 3 × 47 × 1657
Abundant Even Composite

467,274 has digital root 3. The neighboring primes are 467261 and 467293; its proper-divisor sum differs from the starting integer by 20,460.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 955,008
Proper Divisor Sum 487,734
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #467261 ← → #467293

Radix Representation

Decimal 467274
Binary 1110010000101001010 (19 bits)
Octal 0o1620512
Hexadecimal 0x7214A

Divisor Catalog (16)

1 2 3 6 47 94 141 282 1,657 3,314 4,971 9,942 77,879 155,758 233,637 467,274

Collatz Trajectory (107 steps to reach 1)

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

467,274 233,637 700,912 350,456 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494

More profiles

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