λ
Prime Ledger

2,836,707

3 × 73 × 12953
Deficient Odd Composite

2,836,707 has the prime decomposition 3 × 73 × 12953. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 73 × 12953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,834,384
Proper Divisor Sum 997,677
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2836703 ← → #2836711

Radix Representation

Decimal 2836707
Binary 1010110100100011100011 (22 bits)
Octal 0o12644343
Hexadecimal 0x2B48E3

Divisor Catalog (8)

1 3 73 219 12,953 38,859 945,569 2,836,707

Collatz Trajectory (76 steps to reach 1)

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

2,836,707 8,510,122 4,255,061 12,765,184 6,382,592 3,191,296 1,595,648 797,824 398,912 199,456 99,728 49,864 24,932 12,466 6,233 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

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