λ
Integer Codex

9,003,197

7 × 503 × 2557
Deficient Odd Composite

For 9,003,197, the 8 positive divisors have a total of 10,313,856. Removing 9,003,197 leaves 1,310,659, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 503 × 2557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,313,856
Proper Divisor Sum 1,310,659
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9003193 ← → #9003209

Radix Representation

Decimal 9003197
Binary 100010010110000010111101 (24 bits)
Octal 0o42260275
Hexadecimal 0x8960BD

Divisor Catalog (8)

1 7 503 2,557 3,521 17,899 1,286,171 9,003,197

Collatz Trajectory (318 steps to reach 1)

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

9,003,197 27,009,592 13,504,796 6,752,398 3,376,199 10,128,598 5,064,299 15,192,898 7,596,449 22,789,348 11,394,674 5,697,337 17,092,012 8,546,006 4,273,003 12,819,010 6,409,505 19,228,516 9,614,258 4,807,129 14,421,388 7,210,694 3,605,347 10,816,042 5,408,021 16,224,064 8,112,032 4,056,016 2,028,008 1,014,004 507,002 253,501 760,504 380,252 190,126 95,063 285,190 142,595 427,786 213,893 641,680 320,840 160,420 80,210 40,105 120,316 60,158 30,079 90,238 45,119 135,358 67,679 203,038 101,519 304,558 152,279 456,838 228,419 685,258 342,629

More profiles

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