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10,375,083

32 × 17 × 19 × 43 × 83
Deficient Odd Composite

10,375,083 factors as 3^2 × 17 × 19 × 43 × 83. Its 48 positive divisors give a proper-divisor sum of 6,922,197, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 19 × 43 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,297,280
Proper Divisor Sum 6,922,197
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10375067 ← → #10375097

Radix Representation

Decimal 10375083
Binary 100111100100111110101011 (24 bits)
Octal 0o47447653
Hexadecimal 0x9E4FAB

Divisor Catalog (48)

1 3 9 17 19 43 51 57 83 129 153 171 249 323 387 731 747 817 969 1,411 1,577 2,193 2,451 2,907 3,569 4,233 4,731 6,579 7,353 10,707 12,699 13,889 14,193 26,809 32,121 41,667 60,673 67,811 80,427 125,001 182,019 203,433 241,281 546,057 610,299 1,152,787 3,458,361 10,375,083

Collatz Trajectory (189 steps to reach 1)

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

10,375,083 31,125,250 15,562,625 46,687,876 23,343,938 11,671,969 35,015,908 17,507,954 8,753,977 26,261,932 13,130,966 6,565,483 19,696,450 9,848,225 29,544,676 14,772,338 7,386,169 22,158,508 11,079,254 5,539,627 16,618,882 8,309,441 24,928,324 12,464,162 6,232,081 18,696,244 9,348,122 4,674,061 14,022,184 7,011,092 3,505,546 1,752,773 5,258,320 2,629,160 1,314,580 657,290 328,645 985,936 492,968 246,484 123,242 61,621 184,864 92,432 46,216 23,108 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829

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