λ
Integer Codex

9,737,197

9737197
Deficient Odd Prime

For 9,737,197, the 2 positive divisors have a total of 9,737,198. Removing 9,737,197 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9737197
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,737,198
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9737173 ← → #9737201

Radix Representation

Decimal 9737197
Binary 100101001001001111101101 (24 bits)
Octal 0o45111755
Hexadecimal 0x9493ED

Divisor Catalog (2)

1 9,737,197

Collatz Trajectory (238 steps to reach 1)

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

9,737,197 29,211,592 14,605,796 7,302,898 3,651,449 10,954,348 5,477,174 2,738,587 8,215,762 4,107,881 12,323,644 6,161,822 3,080,911 9,242,734 4,621,367 13,864,102 6,932,051 20,796,154 10,398,077 31,194,232 15,597,116 7,798,558 3,899,279 11,697,838 5,848,919 17,546,758 8,773,379 26,320,138 13,160,069 39,480,208 19,740,104 9,870,052 4,935,026 2,467,513 7,402,540 3,701,270 1,850,635 5,551,906 2,775,953 8,327,860 4,163,930 2,081,965 6,245,896 3,122,948 1,561,474 780,737 2,342,212 1,171,106 585,553 1,756,660 878,330 439,165 1,317,496 658,748 329,374 164,687 494,062 247,031 741,094 370,547

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