λ
Prime Ledger

2,952,081

32 × 11 × 29819
Deficient Odd Composite

2,952,081 has the prime decomposition 3^2 × 11 × 29819. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 29819
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,651,920
Proper Divisor Sum 1,699,839
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2952029 ← → #2952097

Radix Representation

Decimal 2952081
Binary 1011010000101110010001 (22 bits)
Octal 0o13205621
Hexadecimal 0x2D0B91

Divisor Catalog (12)

1 3 9 11 33 99 29,819 89,457 268,371 328,009 984,027 2,952,081

Collatz Trajectory (182 steps to reach 1)

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

2,952,081 8,856,244 4,428,122 2,214,061 6,642,184 3,321,092 1,660,546 830,273 2,490,820 1,245,410 622,705 1,868,116 934,058 467,029 1,401,088 700,544 350,272 175,136 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130

More profiles

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