460,467

3² × 7 × 7309

For 460,467, the 12 positive divisors have a total of 760,240. Removing 460,467 leaves 299,773, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 7309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 760,240

Proper Divisor Sum 299,773

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #460463 ← → #460477

Radix Representation

Decimal	460467
Binary	1110000011010110011 (19 bits)
Octal	0o1603263
Hexadecimal	0x706B3

Divisor Catalog (12)

1 3 7 9 21 63 7,309 21,927 51,163 65,781 153,489 460,467

Collatz Trajectory (169 steps to reach 1)

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

460,467 1,381,402 690,701 2,072,104 1,036,052 518,026 259,013 777,040 388,520 194,260 97,130 48,565 145,696 72,848 36,424 18,212 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82

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