λ
Prime Ledger

8,323,149

3 × 17 × 163199
Deficient Odd Composite

8,323,149 has the prime decomposition 3 × 17 × 163199. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 163199
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,750,400
Proper Divisor Sum 3,427,251
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8323109 ← → #8323151

Radix Representation

Decimal 8323149
Binary 11111110000000001001101 (23 bits)
Octal 0o37600115
Hexadecimal 0x7F004D

Divisor Catalog (8)

1 3 17 51 163,199 489,597 2,774,383 8,323,149

Collatz Trajectory (75 steps to reach 1)

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

8,323,149 24,969,448 12,484,724 6,242,362 3,121,181 9,363,544 4,681,772 2,340,886 1,170,443 3,511,330 1,755,665 5,266,996 2,633,498 1,316,749 3,950,248 1,975,124 987,562 493,781 1,481,344 740,672 370,336 185,168 92,584 46,292 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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