λ
Sigma Notebook

7,920,052

22 × 7 × 41 × 6899
Abundant Even Composite

7,920,052 is even and not a perfect square. Its factorization is 2^2 × 7 × 41 × 6899 and its 24 divisors sum to 16,228,800.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 6899
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,228,800
Proper Divisor Sum 8,308,748
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7920047 ← → #7920053

Radix Representation

Decimal 7920052
Binary 11110001101100110110100 (23 bits)
Octal 0o36154664
Hexadecimal 0x78D9B4

Divisor Catalog (24)

1 2 4 7 14 28 41 82 164 287 574 1,148 6,899 13,798 27,596 48,293 96,586 193,172 282,859 565,718 1,131,436 1,980,013 3,960,026 7,920,052

Collatz Trajectory (168 steps to reach 1)

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

7,920,052 3,960,026 1,980,013 5,940,040 2,970,020 1,485,010 742,505 2,227,516 1,113,758 556,879 1,670,638 835,319 2,505,958 1,252,979 3,758,938 1,879,469 5,638,408 2,819,204 1,409,602 704,801 2,114,404 1,057,202 528,601 1,585,804 792,902 396,451 1,189,354 594,677 1,784,032 892,016 446,008 223,004 111,502 55,751 167,254 83,627 250,882 125,441 376,324 188,162 94,081 282,244 141,122 70,561 211,684 105,842 52,921 158,764 79,382 39,691 119,074 59,537 178,612 89,306 44,653 133,960 66,980 33,490 16,745 50,236

More profiles

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