λ
Sigma Notebook

1,642,328

23 × 29 × 7079
Deficient Even Composite

1,642,328 is even and not a perfect square. Its factorization is 2^3 × 29 × 7079 and its 16 divisors sum to 3,186,000.

Prime Factor Structure

Factorization String 2^3 × 29 × 7079
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,186,000
Proper Divisor Sum 1,543,672
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1642327 ← → #1642339

Radix Representation

Decimal 1642328
Binary 110010000111101011000 (21 bits)
Octal 0o6207530
Hexadecimal 0x190F58

Divisor Catalog (16)

1 2 4 8 29 58 116 232 7,079 14,158 28,316 56,632 205,291 410,582 821,164 1,642,328

Collatz Trajectory (207 steps to reach 1)

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

1,642,328 821,164 410,582 205,291 615,874 307,937 923,812 461,906 230,953 692,860 346,430 173,215 519,646 259,823 779,470 389,735 1,169,206 584,603 1,753,810 876,905 2,630,716 1,315,358 657,679 1,973,038 986,519 2,959,558 1,479,779 4,439,338 2,219,669 6,659,008 3,329,504 1,664,752 832,376 416,188 208,094 104,047 312,142 156,071 468,214 234,107 702,322 351,161 1,053,484 526,742 263,371 790,114 395,057 1,185,172 592,586 296,293 888,880 444,440 222,220 111,110 55,555 166,666 83,333 250,000 125,000 62,500

More profiles

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