8,823,997

7 × 13² × 7459

8,823,997 is odd and not a perfect square. Its factorization is 7 × 13^2 × 7459 and its 12 divisors sum to 10,921,440.

Prime Factor Structure

Factorization String 7 × 13^2 × 7459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,921,440

Proper Divisor Sum 2,097,443

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #8823977 ← → #8824027

Radix Representation

Decimal	8823997
Binary	100001101010010010111101 (24 bits)
Octal	0o41522275
Hexadecimal	0x86A4BD

Divisor Catalog (12)

1 7 13 91 169 1,183 7,459 52,213 96,967 678,769 1,260,571 8,823,997

Collatz Trajectory (181 steps to reach 1)

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

8,823,997 26,471,992 13,235,996 6,617,998 3,308,999 9,926,998 4,963,499 14,890,498 7,445,249 22,335,748 11,167,874 5,583,937 16,751,812 8,375,906 4,187,953 12,563,860 6,281,930 3,140,965 9,422,896 4,711,448 2,355,724 1,177,862 588,931 1,766,794 883,397 2,650,192 1,325,096 662,548 331,274 165,637 496,912 248,456 124,228 62,114 31,057 93,172 46,586 23,293 69,880 34,940 17,470 8,735 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329

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