λ
Prime Ledger

9,209,006

2 × 229 × 20107
Deficient Even Composite

9,209,006 has the prime decomposition 2 × 229 × 20107. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 229 × 20107
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,874,520
Proper Divisor Sum 4,665,514
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9208999 ← → #9209017

Radix Representation

Decimal 9209006
Binary 100011001000010010101110 (24 bits)
Octal 0o43102256
Hexadecimal 0x8C84AE

Divisor Catalog (8)

1 2 229 458 20,107 40,214 4,604,503 9,209,006

Collatz Trajectory (163 steps to reach 1)

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

9,209,006 4,604,503 13,813,510 6,906,755 20,720,266 10,360,133 31,080,400 15,540,200 7,770,100 3,885,050 1,942,525 5,827,576 2,913,788 1,456,894 728,447 2,185,342 1,092,671 3,278,014 1,639,007 4,917,022 2,458,511 7,375,534 3,687,767 11,063,302 5,531,651 16,594,954 8,297,477 24,892,432 12,446,216 6,223,108 3,111,554 1,555,777 4,667,332 2,333,666 1,166,833 3,500,500 1,750,250 875,125 2,625,376 1,312,688 656,344 328,172 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409

More profiles

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