λ
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Atlas › Integer Profiles › Node 9,726,508

9,726,508

22 × 11 × 443 × 499
Deficient Even Composite

9,726,508 factors as 2^2 × 11 × 443 × 499. Its 24 positive divisors give a proper-divisor sum of 8,921,492, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 443 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,648,000
Proper Divisor Sum 8,921,492
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9726491 ← → #9726517

Radix Representation

Decimal 9726508
Binary 100101000110101000101100 (24 bits)
Octal 0o45065054
Hexadecimal 0x946A2C

Divisor Catalog (24)

1 2 4 11 22 44 443 499 886 998 1,772 1,996 4,873 5,489 9,746 10,978 19,492 21,956 221,057 442,114 884,228 2,431,627 4,863,254 9,726,508

Collatz Trajectory (145 steps to reach 1)

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

9,726,508 4,863,254 2,431,627 7,294,882 3,647,441 10,942,324 5,471,162 2,735,581 8,206,744 4,103,372 2,051,686 1,025,843 3,077,530 1,538,765 4,616,296 2,308,148 1,154,074 577,037 1,731,112 865,556 432,778 216,389 649,168 324,584 162,292 81,146 40,573 121,720 60,860 30,430 15,215 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702

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