2,396,826

2 × 3² × 133157

2,396,826 has digital root 9. The neighboring primes are 2396803 and 2396833; its proper-divisor sum differs from the starting integer by 399,510.

Prime Factor Structure

Factorization String 2 × 3^2 × 133157

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,193,162

Proper Divisor Sum 2,796,336

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2396803 ← → #2396833

Radix Representation

Decimal	2396826
Binary	1001001001001010011010 (22 bits)
Octal	0o11111232
Hexadecimal	0x24929A

Divisor Catalog (12)

1 2 3 6 9 18 133,157 266,314 399,471 798,942 1,198,413 2,396,826

Collatz Trajectory (205 steps to reach 1)

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

2,396,826 1,198,413 3,595,240 1,797,620 898,810 449,405 1,348,216 674,108 337,054 168,527 505,582 252,791 758,374 379,187 1,137,562 568,781 1,706,344 853,172 426,586 213,293 639,880 319,940 159,970 79,985 239,956 119,978 59,989 179,968 89,984 44,992 22,496 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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