9,365,521

11² × 17 × 29 × 157

For 9,365,521, the 24 positive divisors have a total of 11,347,560. Removing 9,365,521 leaves 1,982,039, which gives the deficient classification.

Prime Factor Structure

Factorization String 11^2 × 17 × 29 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,347,560

Proper Divisor Sum 1,982,039

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9365519 ← → #9365533

Radix Representation

Decimal	9365521
Binary	100011101110100000010001 (24 bits)
Octal	0o43564021
Hexadecimal	0x8EE811

Divisor Catalog (24)

1 11 17 29 121 157 187 319 493 1,727 2,057 2,669 3,509 4,553 5,423 18,997 29,359 50,083 59,653 77,401 322,949 550,913 851,411 9,365,521

Collatz Trajectory (132 steps to reach 1)

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

9,365,521 28,096,564 14,048,282 7,024,141 21,072,424 10,536,212 5,268,106 2,634,053 7,902,160 3,951,080 1,975,540 987,770 493,885 1,481,656 740,828 370,414 185,207 555,622 277,811 833,434 416,717 1,250,152 625,076 312,538 156,269 468,808 234,404 117,202 58,601 175,804 87,902 43,951 131,854 65,927 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902

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