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9,764,667

32 × 11 × 53 × 1861
Deficient Odd Composite

9,764,667 factors as 3^2 × 11 × 53 × 1861. Its 24 positive divisors give a proper-divisor sum of 5,920,821, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 53 × 1861
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,685,488
Proper Divisor Sum 5,920,821
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9764663 ← → #9764687

Radix Representation

Decimal 9764667
Binary 100101001111111100111011 (24 bits)
Octal 0o45177473
Hexadecimal 0x94FF3B

Divisor Catalog (24)

1 3 9 11 33 53 99 159 477 583 1,749 1,861 5,247 5,583 16,749 20,471 61,413 98,633 184,239 295,899 887,697 1,084,963 3,254,889 9,764,667

Collatz Trajectory (207 steps to reach 1)

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

9,764,667 29,294,002 14,647,001 43,941,004 21,970,502 10,985,251 32,955,754 16,477,877 49,433,632 24,716,816 12,358,408 6,179,204 3,089,602 1,544,801 4,634,404 2,317,202 1,158,601 3,475,804 1,737,902 868,951 2,606,854 1,303,427 3,910,282 1,955,141 5,865,424 2,932,712 1,466,356 733,178 366,589 1,099,768 549,884 274,942 137,471 412,414 206,207 618,622 309,311 927,934 463,967 1,391,902 695,951 2,087,854 1,043,927 3,131,782 1,565,891 4,697,674 2,348,837 7,046,512 3,523,256 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834 990,917 2,972,752 1,486,376 743,188 371,594

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