λ
Prime Ledger

9,331,263

32 × 59 × 17573
Deficient Odd Composite

9,331,263 has the prime decomposition 3^2 × 59 × 17573. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 59 × 17573
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,707,720
Proper Divisor Sum 4,376,457
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9331253 ← → #9331297

Radix Representation

Decimal 9331263
Binary 100011100110001000111111 (24 bits)
Octal 0o43461077
Hexadecimal 0x8E623F

Divisor Catalog (12)

1 3 9 59 177 531 17,573 52,719 158,157 1,036,807 3,110,421 9,331,263

Collatz Trajectory (155 steps to reach 1)

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

9,331,263 27,993,790 13,996,895 41,990,686 20,995,343 62,986,030 31,493,015 94,479,046 47,239,523 141,718,570 70,859,285 212,577,856 106,288,928 53,144,464 26,572,232 13,286,116 6,643,058 3,321,529 9,964,588 4,982,294 2,491,147 7,473,442 3,736,721 11,210,164 5,605,082 2,802,541 8,407,624 4,203,812 2,101,906 1,050,953 3,152,860 1,576,430 788,215 2,364,646 1,182,323 3,546,970 1,773,485 5,320,456 2,660,228 1,330,114 665,057 1,995,172 997,586 498,793 1,496,380 748,190 374,095 1,122,286 561,143 1,683,430 841,715 2,525,146 1,262,573 3,787,720 1,893,860 946,930 473,465 1,420,396 710,198 355,099

More profiles

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