2,396,646

2 × 3² × 7 × 23 × 827

2,396,646 has the prime decomposition 2 × 3^2 × 7 × 23 × 827. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 23 × 827

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,200,064

Proper Divisor Sum 3,803,418

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2396633 ← → #2396651

Radix Representation

Decimal	2396646
Binary	1001001001000111100110 (22 bits)
Octal	0o11110746
Hexadecimal	0x2491E6

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 827 966 1,449 1,654 2,481 2,898 4,962 5,789 7,443 11,578 14,886 17,367 19,021 34,734 38,042 52,101 57,063 104,202 114,126 133,147 171,189 266,294 342,378 399,441 798,882 1,198,323 2,396,646

Collatz Trajectory (205 steps to reach 1)

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

2,396,646 1,198,323 3,594,970 1,797,485 5,392,456 2,696,228 1,348,114 674,057 2,022,172 1,011,086 505,543 1,516,630 758,315 2,274,946 1,137,473 3,412,420 1,706,210 853,105 2,559,316 1,279,658 639,829 1,919,488 959,744 479,872 239,936 119,968 59,984 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

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