λ
Modular Archive

9,708,723

32 × 157 × 6871
Deficient Odd Composite

The decimal integer 9,708,723 is 100101000010010010110011 in binary (24 bits), 45022263 in octal and 9424B3 in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 3^2 × 157 × 6871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,115,088
Proper Divisor Sum 4,406,365
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9708719 ← → #9708731

Radix Representation

Decimal 9708723
Binary 100101000010010010110011 (24 bits)
Octal 0o45022263
Hexadecimal 0x9424B3

Divisor Catalog (12)

1 3 9 157 471 1,413 6,871 20,613 61,839 1,078,747 3,236,241 9,708,723

Collatz Trajectory (238 steps to reach 1)

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

9,708,723 29,126,170 14,563,085 43,689,256 21,844,628 10,922,314 5,461,157 16,383,472 8,191,736 4,095,868 2,047,934 1,023,967 3,071,902 1,535,951 4,607,854 2,303,927 6,911,782 3,455,891 10,367,674 5,183,837 15,551,512 7,775,756 3,887,878 1,943,939 5,831,818 2,915,909 8,747,728 4,373,864 2,186,932 1,093,466 546,733 1,640,200 820,100 410,050 205,025 615,076 307,538 153,769 461,308 230,654 115,327 345,982 172,991 518,974 259,487 778,462 389,231 1,167,694 583,847 1,751,542 875,771 2,627,314 1,313,657 3,940,972 1,970,486 985,243 2,955,730 1,477,865 4,433,596 2,216,798

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