λ
Prime Ledger

4,779,084

22 × 3 × 29 × 31 × 443
Abundant Even Composite

4,779,084 has the prime decomposition 2^2 × 3 × 29 × 31 × 443. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 31 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,934,720
Proper Divisor Sum 7,155,636
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4779079 ← → #4779107

Radix Representation

Decimal 4779084
Binary 10010001110110001001100 (23 bits)
Octal 0o22166114
Hexadecimal 0x48EC4C

Divisor Catalog (48)

1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 443 886 899 1,329 1,772 1,798 2,658 2,697 3,596 5,316 5,394 10,788 12,847 13,733 25,694 27,466 38,541 41,199 51,388 54,932 77,082 82,398 154,164 164,796 398,257 796,514 1,194,771 1,593,028 2,389,542 4,779,084

Collatz Trajectory (206 steps to reach 1)

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

4,779,084 2,389,542 1,194,771 3,584,314 1,792,157 5,376,472 2,688,236 1,344,118 672,059 2,016,178 1,008,089 3,024,268 1,512,134 756,067 2,268,202 1,134,101 3,402,304 1,701,152 850,576 425,288 212,644 106,322 53,161 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332 454,166 227,083 681,250 340,625 1,021,876 510,938 255,469 766,408 383,204 191,602 95,801 287,404 143,702 71,851 215,554 107,777 323,332 161,666 80,833 242,500 121,250 60,625 181,876

More profiles

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