λ
Prime Ledger

4,548,992

27 × 7 × 5077
Abundant Even Composite

4,548,992 has the prime decomposition 2^7 × 7 × 5077. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 7 × 5077
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,359,120
Proper Divisor Sum 5,810,128
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4548983 ← → #4549003

Radix Representation

Decimal 4548992
Binary 10001010110100110000000 (23 bits)
Octal 0o21264600
Hexadecimal 0x456980

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 5,077 10,154 20,308 35,539 40,616 71,078 81,232 142,156 162,464 284,312 324,928 568,624 649,856 1,137,248 2,274,496 4,548,992

Collatz Trajectory (79 steps to reach 1)

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

4,548,992 2,274,496 1,137,248 568,624 284,312 142,156 71,078 35,539 106,618 53,309 159,928 79,964 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803

More profiles

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