λ
Prime Ledger

2,906,004

22 × 3 × 23 × 10529
Abundant Even Composite

2,906,004 has the prime decomposition 2^2 × 3 × 23 × 10529. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 10529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,076,160
Proper Divisor Sum 4,170,156
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2905999 ← → #2906009

Radix Representation

Decimal 2906004
Binary 1011000101011110010100 (22 bits)
Octal 0o13053624
Hexadecimal 0x2C5794

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 10,529 21,058 31,587 42,116 63,174 126,348 242,167 484,334 726,501 968,668 1,453,002 2,906,004

Collatz Trajectory (182 steps to reach 1)

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

2,906,004 1,453,002 726,501 2,179,504 1,089,752 544,876 272,438 136,219 408,658 204,329 612,988 306,494 153,247 459,742 229,871 689,614 344,807 1,034,422 517,211 1,551,634 775,817 2,327,452 1,163,726 581,863 1,745,590 872,795 2,618,386 1,309,193 3,927,580 1,963,790 981,895 2,945,686 1,472,843 4,418,530 2,209,265 6,627,796 3,313,898 1,656,949 4,970,848 2,485,424 1,242,712 621,356 310,678 155,339 466,018 233,009 699,028 349,514 174,757 524,272 262,136 131,068 65,534 32,767 98,302 49,151 147,454 73,727 221,182 110,591

More profiles

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