λ
Modular Archive

9,003,475

52 × 132 × 2131
Deficient Odd Composite

The decimal integer 9,003,475 is 100010010110000111010011 in binary (24 bits), 42260723 in octal and 8961D3 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 5^2 × 13^2 × 2131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 12,094,836
Proper Divisor Sum 3,091,361
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9003437 ← → #9003487

Radix Representation

Decimal 9003475
Binary 100010010110000111010011 (24 bits)
Octal 0o42260723
Hexadecimal 0x8961D3

Divisor Catalog (18)

1 5 13 25 65 169 325 845 2,131 4,225 10,655 27,703 53,275 138,515 360,139 692,575 1,800,695 9,003,475

Collatz Trajectory (199 steps to reach 1)

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

9,003,475 27,010,426 13,505,213 40,515,640 20,257,820 10,128,910 5,064,455 15,193,366 7,596,683 22,790,050 11,395,025 34,185,076 17,092,538 8,546,269 25,638,808 12,819,404 6,409,702 3,204,851 9,614,554 4,807,277 14,421,832 7,210,916 3,605,458 1,802,729 5,408,188 2,704,094 1,352,047 4,056,142 2,028,071 6,084,214 3,042,107 9,126,322 4,563,161 13,689,484 6,844,742 3,422,371 10,267,114 5,133,557 15,400,672 7,700,336 3,850,168 1,925,084 962,542 481,271 1,443,814 721,907 2,165,722 1,082,861 3,248,584 1,624,292 812,146 406,073 1,218,220 609,110 304,555 913,666 456,833 1,370,500 685,250 342,625

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