λ
Ratio Atlas

9,723,993

3 × 449 × 7219
Deficient Odd Composite

9,723,993 factors as 3 × 449 × 7219. Its 8 positive divisors give a proper-divisor sum of 3,272,007, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3 × 449 × 7219
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,996,000
Proper Divisor Sum 3,272,007
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9723979 ← → #9723997

Radix Representation

Decimal 9723993
Binary 100101000110000001011001 (24 bits)
Octal 0o45060131
Hexadecimal 0x946059

Divisor Catalog (8)

1 3 449 1,347 7,219 21,657 3,241,331 9,723,993

Collatz Trajectory (225 steps to reach 1)

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

9,723,993 29,171,980 14,585,990 7,292,995 21,878,986 10,939,493 32,818,480 16,409,240 8,204,620 4,102,310 2,051,155 6,153,466 3,076,733 9,230,200 4,615,100 2,307,550 1,153,775 3,461,326 1,730,663 5,191,990 2,595,995 7,787,986 3,893,993 11,681,980 5,840,990 2,920,495 8,761,486 4,380,743 13,142,230 6,571,115 19,713,346 9,856,673 29,570,020 14,785,010 7,392,505 22,177,516 11,088,758 5,544,379 16,633,138 8,316,569 24,949,708 12,474,854 6,237,427 18,712,282 9,356,141 28,068,424 14,034,212 7,017,106 3,508,553 10,525,660 5,262,830 2,631,415 7,894,246 3,947,123 11,841,370 5,920,685 17,762,056 8,881,028 4,440,514 2,220,257

More profiles

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