λ
Sigma Notebook

1,622,052

22 × 33 × 23 × 653
Abundant Even Composite

1,622,052 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 23 × 653 and its 48 divisors sum to 4,394,880.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,394,880
Proper Divisor Sum 2,772,828
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1622041 ← → #1622053

Radix Representation

Decimal 1622052
Binary 110001100000000100100 (21 bits)
Octal 0o6140044
Hexadecimal 0x18C024

Divisor Catalog (48)

1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 653 828 1,242 1,306 1,959 2,484 2,612 3,918 5,877 7,836 11,754 15,019 17,631 23,508 30,038 35,262 45,057 60,076 70,524 90,114 135,171 180,228 270,342 405,513 540,684 811,026 1,622,052

Collatz Trajectory (62 steps to reach 1)

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

1,622,052 811,026 405,513 1,216,540 608,270 304,135 912,406 456,203 1,368,610 684,305 2,052,916 1,026,458 513,229 1,539,688 769,844 384,922 192,461 577,384 288,692 144,346 72,173 216,520 108,260 54,130 27,065 81,196 40,598 20,299 60,898 30,449 91,348 45,674 22,837 68,512 34,256 17,128 8,564 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8

More profiles

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