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Atlas › Integer Profiles › Node 4,811,496

4,811,496

23 × 3 × 433 × 463
Abundant Even Composite

4,811,496 factors as 2^3 × 3 × 433 × 463. Its 32 positive divisors give a proper-divisor sum of 7,271,064, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 433 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,082,560
Proper Divisor Sum 7,271,064
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4811483 ← → #4811507

Radix Representation

Decimal 4811496
Binary 10010010110101011101000 (23 bits)
Octal 0o22265350
Hexadecimal 0x496AE8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 433 463 866 926 1,299 1,389 1,732 1,852 2,598 2,778 3,464 3,704 5,196 5,556 10,392 11,112 200,479 400,958 601,437 801,916 1,202,874 1,603,832 2,405,748 4,811,496

Collatz Trajectory (74 steps to reach 1)

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

4,811,496 2,405,748 1,202,874 601,437 1,804,312 902,156 451,078 225,539 676,618 338,309 1,014,928 507,464 253,732 126,866 63,433 190,300 95,150 47,575 142,726 71,363 214,090 107,045 321,136 160,568 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848

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