λ
Integer Codex

1,642,386

2 × 3 × 29 × 9439
Abundant Even Composite

For 1,642,386, the 16 positive divisors have a total of 3,398,400. Removing 1,642,386 leaves 1,756,014, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 9439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,398,400
Proper Divisor Sum 1,756,014
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1642373 ← → #1642397

Radix Representation

Decimal 1642386
Binary 110010000111110010010 (21 bits)
Octal 0o6207622
Hexadecimal 0x190F92

Divisor Catalog (16)

1 2 3 6 29 58 87 174 9,439 18,878 28,317 56,634 273,731 547,462 821,193 1,642,386

Collatz Trajectory (207 steps to reach 1)

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

1,642,386 821,193 2,463,580 1,231,790 615,895 1,847,686 923,843 2,771,530 1,385,765 4,157,296 2,078,648 1,039,324 519,662 259,831 779,494 389,747 1,169,242 584,621 1,753,864 876,932 438,466 219,233 657,700 328,850 164,425 493,276 246,638 123,319 369,958 184,979 554,938 277,469 832,408 416,204 208,102 104,051 312,154 156,077 468,232 234,116 117,058 58,529 175,588 87,794 43,897 131,692 65,846 32,923 98,770 49,385 148,156 74,078 37,039 111,118 55,559 166,678 83,339 250,018 125,009 375,028

More profiles

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