λ
Prime Ledger

796,317

3 × 43 × 6173
Deficient Odd Composite

796,317 has the prime decomposition 3 × 43 × 6173. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 43 × 6173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,086,624
Proper Divisor Sum 290,307
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #796307 ← → #796337

Radix Representation

Decimal 796317
Binary 11000010011010011101 (20 bits)
Octal 0o3023235
Hexadecimal 0xC269D

Divisor Catalog (8)

1 3 43 129 6,173 18,519 265,439 796,317

Collatz Trajectory (162 steps to reach 1)

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

796,317 2,388,952 1,194,476 597,238 298,619 895,858 447,929 1,343,788 671,894 335,947 1,007,842 503,921 1,511,764 755,882 377,941 1,133,824 566,912 283,456 141,728 70,864 35,432 17,716 8,858 4,429 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 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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