λ
Prime Ledger

823,720

23 × 5 × 20593
Abundant Even Composite

823,720 has the prime decomposition 2^3 × 5 × 20593. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 20593
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,853,460
Proper Divisor Sum 1,029,740
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #823717 ← → #823721

Radix Representation

Decimal 823720
Binary 11001001000110101000 (20 bits)
Octal 0o3110650
Hexadecimal 0xC91A8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 20,593 41,186 82,372 102,965 164,744 205,930 411,860 823,720

Collatz Trajectory (82 steps to reach 1)

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

823,720 411,860 205,930 102,965 308,896 154,448 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

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