λ
Prime Ledger

9,284,247

33 × 7 × 49123
Deficient Odd Composite

9,284,247 has the prime decomposition 3^3 × 7 × 49123. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 49123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,719,680
Proper Divisor Sum 6,435,433
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9284243 ← → #9284267

Radix Representation

Decimal 9284247
Binary 100011011010101010010111 (24 bits)
Octal 0o43325227
Hexadecimal 0x8DAA97

Divisor Catalog (16)

1 3 7 9 21 27 63 189 49,123 147,369 343,861 442,107 1,031,583 1,326,321 3,094,749 9,284,247

Collatz Trajectory (256 steps to reach 1)

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

9,284,247 27,852,742 13,926,371 41,779,114 20,889,557 62,668,672 31,334,336 15,667,168 7,833,584 3,916,792 1,958,396 979,198 489,599 1,468,798 734,399 2,203,198 1,101,599 3,304,798 1,652,399 4,957,198 2,478,599 7,435,798 3,717,899 11,153,698 5,576,849 16,730,548 8,365,274 4,182,637 12,547,912 6,273,956 3,136,978 1,568,489 4,705,468 2,352,734 1,176,367 3,529,102 1,764,551 5,293,654 2,646,827 7,940,482 3,970,241 11,910,724 5,955,362 2,977,681 8,933,044 4,466,522 2,233,261 6,699,784 3,349,892 1,674,946 837,473 2,512,420 1,256,210 628,105 1,884,316 942,158 471,079 1,413,238 706,619 2,119,858

More profiles

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