805,044

2² × 3 × 73 × 919

805,044 factors as 2^2 × 3 × 73 × 919. Its 24 positive divisors give a proper-divisor sum of 1,101,196, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 919

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,906,240

Proper Divisor Sum 1,101,196

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #805037 ← → #805061

Radix Representation

Decimal	805044
Binary	11000100100010110100 (20 bits)
Octal	0o3044264
Hexadecimal	0xC48B4

Divisor Catalog (24)

Collatz Trajectory (118 steps to reach 1)

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

805,044 402,522 201,261 603,784 301,892 150,946 75,473 226,420 113,210 56,605 169,816 84,908 42,454 21,227 63,682 31,841 95,524 47,762 23,881 71,644 35,822 17,911 53,734 26,867 80,602 40,301 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110

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