λ
Ratio Atlas

9,132,221

7 × 1304603
Deficient Odd Composite

9,132,221 factors as 7 × 1304603. Its 4 positive divisors give a proper-divisor sum of 1,304,611, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 7 × 1304603
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,436,832
Proper Divisor Sum 1,304,611
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9132209 ← → #9132251

Radix Representation

Decimal 9132221
Binary 100010110101100010111101 (24 bits)
Octal 0o42654275
Hexadecimal 0x8B58BD

Divisor Catalog (4)

1 7 1,304,603 9,132,221

Collatz Trajectory (225 steps to reach 1)

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

9,132,221 27,396,664 13,698,332 6,849,166 3,424,583 10,273,750 5,136,875 15,410,626 7,705,313 23,115,940 11,557,970 5,778,985 17,336,956 8,668,478 4,334,239 13,002,718 6,501,359 19,504,078 9,752,039 29,256,118 14,628,059 43,884,178 21,942,089 65,826,268 32,913,134 16,456,567 49,369,702 24,684,851 74,054,554 37,027,277 111,081,832 55,540,916 27,770,458 13,885,229 41,655,688 20,827,844 10,413,922 5,206,961 15,620,884 7,810,442 3,905,221 11,715,664 5,857,832 2,928,916 1,464,458 732,229 2,196,688 1,098,344 549,172 274,586 137,293 411,880 205,940 102,970 51,485 154,456 77,228 38,614 19,307 57,922

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