9,967,004

2² × 23 × 131 × 827

9,967,004 has the prime decomposition 2^2 × 23 × 131 × 827. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 131 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,361,728

Proper Divisor Sum 8,394,724

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9967003 ← → #9967031

Radix Representation

Decimal	9967004
Binary	100110000001010110011100 (24 bits)
Octal	0o46012634
Hexadecimal	0x98159C

Divisor Catalog (24)

1 2 4 23 46 92 131 262 524 827 1,654 3,013 3,308 6,026 12,052 19,021 38,042 76,084 108,337 216,674 433,348 2,491,751 4,983,502 9,967,004

Collatz Trajectory (189 steps to reach 1)

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

9,967,004 4,983,502 2,491,751 7,475,254 3,737,627 11,212,882 5,606,441 16,819,324 8,409,662 4,204,831 12,614,494 6,307,247 18,921,742 9,460,871 28,382,614 14,191,307 42,573,922 21,286,961 63,860,884 31,930,442 15,965,221 47,895,664 23,947,832 11,973,916 5,986,958 2,993,479 8,980,438 4,490,219 13,470,658 6,735,329 20,205,988 10,102,994 5,051,497 15,154,492 7,577,246 3,788,623 11,365,870 5,682,935 17,048,806 8,524,403 25,573,210 12,786,605 38,359,816 19,179,908 9,589,954 4,794,977 14,384,932 7,192,466 3,596,233 10,788,700 5,394,350 2,697,175 8,091,526 4,045,763 12,137,290 6,068,645 18,205,936 9,102,968 4,551,484 2,275,742

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