λ
Prime Ledger

2,991,190

2 × 5 × 31 × 9649
Deficient Even Composite

2,991,190 has the prime decomposition 2 × 5 × 31 × 9649. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 9649
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,558,400
Proper Divisor Sum 2,567,210
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2991187 ← → #2991193

Radix Representation

Decimal 2991190
Binary 1011011010010001010110 (22 bits)
Octal 0o13322126
Hexadecimal 0x2DA456

Divisor Catalog (16)

1 2 5 10 31 62 155 310 9,649 19,298 48,245 96,490 299,119 598,238 1,495,595 2,991,190

Collatz Trajectory (58 steps to reach 1)

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

2,991,190 1,495,595 4,486,786 2,243,393 6,730,180 3,365,090 1,682,545 5,047,636 2,523,818 1,261,909 3,785,728 1,892,864 946,432 473,216 236,608 118,304 59,152 29,576 14,788 7,394 3,697 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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