λ
Math Directory

9,672,949

11 × 13 × 17 × 23 × 173
Deficient Odd Composite

9,672,949 factors as 11 × 13 × 17 × 23 × 173. Its 32 positive divisors give a proper-divisor sum of 2,955,275, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 11 × 13 × 17 × 23 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,628,224
Proper Divisor Sum 2,955,275
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9672941 ← → #9672973

Radix Representation

Decimal 9672949
Binary 100100111001100011110101 (24 bits)
Octal 0o44714365
Hexadecimal 0x9398F5

Divisor Catalog (32)

1 11 13 17 23 143 173 187 221 253 299 391 1,903 2,249 2,431 2,941 3,289 3,979 4,301 5,083 24,739 32,351 38,233 43,769 51,727 55,913 67,643 420,563 568,997 744,073 879,359 9,672,949

Collatz Trajectory (238 steps to reach 1)

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

9,672,949 29,018,848 14,509,424 7,254,712 3,627,356 1,813,678 906,839 2,720,518 1,360,259 4,080,778 2,040,389 6,121,168 3,060,584 1,530,292 765,146 382,573 1,147,720 573,860 286,930 143,465 430,396 215,198 107,599 322,798 161,399 484,198 242,099 726,298 363,149 1,089,448 544,724 272,362 136,181 408,544 204,272 102,136 51,068 25,534 12,767 38,302 19,151 57,454 28,727 86,182 43,091 129,274 64,637 193,912 96,956 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357

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