λ
Prime Ledger

4,779,438

2 × 3 × 37 × 21529
Abundant Even Composite

4,779,438 has the prime decomposition 2 × 3 × 37 × 21529. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 21529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,817,680
Proper Divisor Sum 5,038,242
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4779433 ← → #4779443

Radix Representation

Decimal 4779438
Binary 10010001110110110101110 (23 bits)
Octal 0o22166656
Hexadecimal 0x48EDAE

Divisor Catalog (16)

1 2 3 6 37 74 111 222 21,529 43,058 64,587 129,174 796,573 1,593,146 2,389,719 4,779,438

Collatz Trajectory (100 steps to reach 1)

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

4,779,438 2,389,719 7,169,158 3,584,579 10,753,738 5,376,869 16,130,608 8,065,304 4,032,652 2,016,326 1,008,163 3,024,490 1,512,245 4,536,736 2,268,368 1,134,184 567,092 283,546 141,773 425,320 212,660 106,330 53,165 159,496 79,748 39,874 19,937 59,812 29,906 14,953 44,860 22,430 11,215 33,646 16,823 50,470 25,235 75,706 37,853 113,560 56,780 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056

More profiles

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