797,080

2³ × 5 × 19927

797,080 factors as 2^3 × 5 × 19927. Its 16 positive divisors give a proper-divisor sum of 996,440, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19927

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,793,520

Proper Divisor Sum 996,440

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #797077 ← → #797119

Radix Representation

Decimal	797080
Binary	11000010100110011000 (20 bits)
Octal	0o3024630
Hexadecimal	0xC2998

Divisor Catalog (16)

1 2 4 5 8 10 20 40 19,927 39,854 79,708 99,635 159,416 199,270 398,540 797,080

Collatz Trajectory (162 steps to reach 1)

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

797,080 398,540 199,270 99,635 298,906 149,453 448,360 224,180 112,090 56,045 168,136 84,068 42,034 21,017 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142

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