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9,748,665

32 × 5 × 23 × 9419
Deficient Odd Composite

9,748,665 factors as 3^2 × 5 × 23 × 9419. Its 24 positive divisors give a proper-divisor sum of 7,885,575, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 9419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,634,240
Proper Divisor Sum 7,885,575
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9748657 ← → #9748681

Radix Representation

Decimal 9748665
Binary 100101001100000010111001 (24 bits)
Octal 0o45140271
Hexadecimal 0x94C0B9

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 9,419 28,257 47,095 84,771 141,285 216,637 423,855 649,911 1,083,185 1,949,733 3,249,555 9,748,665

Collatz Trajectory (207 steps to reach 1)

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

9,748,665 29,245,996 14,622,998 7,311,499 21,934,498 10,967,249 32,901,748 16,450,874 8,225,437 24,676,312 12,338,156 6,169,078 3,084,539 9,253,618 4,626,809 13,880,428 6,940,214 3,470,107 10,410,322 5,205,161 15,615,484 7,807,742 3,903,871 11,711,614 5,855,807 17,567,422 8,783,711 26,351,134 13,175,567 39,526,702 19,763,351 59,290,054 29,645,027 88,935,082 44,467,541 133,402,624 66,701,312 33,350,656 16,675,328 8,337,664 4,168,832 2,084,416 1,042,208 521,104 260,552 130,276 65,138 32,569 97,708 48,854 24,427 73,282 36,641 109,924 54,962 27,481 82,444 41,222 20,611 61,834

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