λ
Prime Ledger

7,367,822

2 × 7 × 11 × 47843
Deficient Even Composite

7,367,822 has the prime decomposition 2 × 7 × 11 × 47843. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 47843
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,779,072
Proper Divisor Sum 6,411,250
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7367821 ← → #7367837

Radix Representation

Decimal 7367822
Binary 11100000110110010001110 (23 bits)
Octal 0o34066216
Hexadecimal 0x706C8E

Divisor Catalog (16)

1 2 7 11 14 22 77 154 47,843 95,686 334,901 526,273 669,802 1,052,546 3,683,911 7,367,822

Collatz Trajectory (266 steps to reach 1)

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

7,367,822 3,683,911 11,051,734 5,525,867 16,577,602 8,288,801 24,866,404 12,433,202 6,216,601 18,649,804 9,324,902 4,662,451 13,987,354 6,993,677 20,981,032 10,490,516 5,245,258 2,622,629 7,867,888 3,933,944 1,966,972 983,486 491,743 1,475,230 737,615 2,212,846 1,106,423 3,319,270 1,659,635 4,978,906 2,489,453 7,468,360 3,734,180 1,867,090 933,545 2,800,636 1,400,318 700,159 2,100,478 1,050,239 3,150,718 1,575,359 4,726,078 2,363,039 7,089,118 3,544,559 10,633,678 5,316,839 15,950,518 7,975,259 23,925,778 11,962,889 35,888,668 17,944,334 8,972,167 26,916,502 13,458,251 40,374,754 20,187,377 60,562,132

More profiles

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