823,920

2⁴ × 3 × 5 × 3433

823,920 has the prime decomposition 2^4 × 3 × 5 × 3433. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 3433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,554,896

Proper Divisor Sum 1,730,976

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #823913 ← → #823961

Radix Representation

Decimal	823920
Binary	11001001001001110000 (20 bits)
Octal	0o3111160
Hexadecimal	0xC9270

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3,433 6,866 10,299 13,732 17,165 20,598 27,464 34,330 41,196 51,495 54,928 68,660 82,392 102,990 137,320 164,784 205,980 274,640 411,960 823,920

Collatz Trajectory (175 steps to reach 1)

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

823,920 411,960 205,980 102,990 51,495 154,486 77,243 231,730 115,865 347,596 173,798 86,899 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146

← Previous Integer #823,919 Browse Full Index Next Integer #823,921 →