λ
Prime Ledger

4,623,888

24 × 3 × 96331
Abundant Even Composite

4,623,888 has the prime decomposition 2^4 × 3 × 96331. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 96331
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,945,168
Proper Divisor Sum 7,321,280
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4623877 ← → #4623911

Radix Representation

Decimal 4623888
Binary 10001101000111000010000 (23 bits)
Octal 0o21507020
Hexadecimal 0x468E10

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 96,331 192,662 288,993 385,324 577,986 770,648 1,155,972 1,541,296 2,311,944 4,623,888

Collatz Trajectory (193 steps to reach 1)

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

4,623,888 2,311,944 1,155,972 577,986 288,993 866,980 433,490 216,745 650,236 325,118 162,559 487,678 243,839 731,518 365,759 1,097,278 548,639 1,645,918 822,959 2,468,878 1,234,439 3,703,318 1,851,659 5,554,978 2,777,489 8,332,468 4,166,234 2,083,117 6,249,352 3,124,676 1,562,338 781,169 2,343,508 1,171,754 585,877 1,757,632 878,816 439,408 219,704 109,852 54,926 27,463 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759 104,278 52,139 156,418 78,209 234,628 117,314 58,657 175,972

More profiles

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