λ
Integer Codex

676,524

22 × 3 × 56377
Abundant Even Composite

For 676,524, the 12 positive divisors have a total of 1,578,584. Removing 676,524 leaves 902,060, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 56377
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,578,584
Proper Divisor Sum 902,060
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #676523 ← → #676573

Radix Representation

Decimal 676524
Binary 10100101001010101100 (20 bits)
Octal 0o2451254
Hexadecimal 0xA52AC

Divisor Catalog (12)

1 2 3 4 6 12 56,377 112,754 169,131 225,508 338,262 676,524

Collatz Trajectory (61 steps to reach 1)

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

676,524 338,262 169,131 507,394 253,697 761,092 380,546 190,273 570,820 285,410 142,705 428,116 214,058 107,029 321,088 160,544 80,272 40,136 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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