λ
Prime Ledger

2,969,010

2 × 32 × 5 × 11 × 2999
Abundant Even Composite

2,969,010 has the prime decomposition 2 × 3^2 × 5 × 11 × 2999. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 2999
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,424,000
Proper Divisor Sum 5,454,990
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2969009 ← → #2969011

Radix Representation

Decimal 2969010
Binary 1011010100110110110010 (22 bits)
Octal 0o13246662
Hexadecimal 0x2D4DB2

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2,999 5,998 8,997 14,995 17,994 26,991 29,990 32,989 44,985 53,982 65,978 89,970 98,967 134,955 164,945 197,934 269,910 296,901 329,890 494,835 593,802 989,670 1,484,505 2,969,010

Collatz Trajectory (120 steps to reach 1)

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

2,969,010 1,484,505 4,453,516 2,226,758 1,113,379 3,340,138 1,670,069 5,010,208 2,505,104 1,252,552 626,276 313,138 156,569 469,708 234,854 117,427 352,282 176,141 528,424 264,212 132,106 66,053 198,160 99,080 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844

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