λ
Math Directory

8,592,379

971 × 8849
Deficient Odd Composite

8,592,379 factors as 971 × 8849. Its 4 positive divisors give a proper-divisor sum of 9,821, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 971 × 8849
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,602,200
Proper Divisor Sum 9,821
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8592377 ← → #8592401

Radix Representation

Decimal 8592379
Binary 100000110001101111111011 (24 bits)
Octal 0o40615773
Hexadecimal 0x831BFB

Divisor Catalog (4)

1 971 8,849 8,592,379

Collatz Trajectory (212 steps to reach 1)

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

8,592,379 25,777,138 12,888,569 38,665,708 19,332,854 9,666,427 28,999,282 14,499,641 43,498,924 21,749,462 10,874,731 32,624,194 16,312,097 48,936,292 24,468,146 12,234,073 36,702,220 18,351,110 9,175,555 27,526,666 13,763,333 41,290,000 20,645,000 10,322,500 5,161,250 2,580,625 7,741,876 3,870,938 1,935,469 5,806,408 2,903,204 1,451,602 725,801 2,177,404 1,088,702 544,351 1,633,054 816,527 2,449,582 1,224,791 3,674,374 1,837,187 5,511,562 2,755,781 8,267,344 4,133,672 2,066,836 1,033,418 516,709 1,550,128 775,064 387,532 193,766 96,883 290,650 145,325 435,976 217,988 108,994 54,497

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