λ
Sigma Notebook

5,463,248

24 × 7 × 48779
Abundant Even Composite

5,463,248 is even and not a perfect square. Its factorization is 2^4 × 7 × 48779 and its 20 divisors sum to 12,097,440.

Prime Factor Structure

Factorization String 2^4 × 7 × 48779
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,097,440
Proper Divisor Sum 6,634,192
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5463217 ← → #5463257

Radix Representation

Decimal 5463248
Binary 10100110101110011010000 (23 bits)
Octal 0o24656320
Hexadecimal 0x535CD0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 48,779 97,558 195,116 341,453 390,232 682,906 780,464 1,365,812 2,731,624 5,463,248

Collatz Trajectory (95 steps to reach 1)

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

5,463,248 2,731,624 1,365,812 682,906 341,453 1,024,360 512,180 256,090 128,045 384,136 192,068 96,034 48,017 144,052 72,026 36,013 108,040 54,020 27,010 13,505 40,516 20,258 10,129 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971

More profiles

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