λ
Zalai Atlas

4,395,280

24 × 5 × 54941
Abundant Even Composite

4,395,280 has the prime decomposition 2^4 × 5 × 54941. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 54941
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,219,212
Proper Divisor Sum 5,823,932
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4395271 ← → #4395283

Radix Representation

Decimal 4395280
Binary 10000110001000100010000 (23 bits)
Octal 0o20610420
Hexadecimal 0x431110

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 54,941 109,882 219,764 274,705 439,528 549,410 879,056 1,098,820 2,197,640 4,395,280

Collatz Trajectory (74 steps to reach 1)

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

4,395,280 2,197,640 1,098,820 549,410 274,705 824,116 412,058 206,029 618,088 309,044 154,522 77,261 231,784 115,892 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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