λ
Prime Ledger

3,584,656

24 × 224041
Deficient Even Composite

3,584,656 has the prime decomposition 2^4 × 224041. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 224041
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 6,945,302
Proper Divisor Sum 3,360,646
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3584641 ← → #3584681

Radix Representation

Decimal 3584656
Binary 1101101011001010010000 (22 bits)
Octal 0o15531220
Hexadecimal 0x36B290

Divisor Catalog (10)

1 2 4 8 16 224,041 448,082 896,164 1,792,328 3,584,656

Collatz Trajectory (97 steps to reach 1)

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

3,584,656 1,792,328 896,164 448,082 224,041 672,124 336,062 168,031 504,094 252,047 756,142 378,071 1,134,214 567,107 1,701,322 850,661 2,551,984 1,275,992 637,996 318,998 159,499 478,498 239,249 717,748 358,874 179,437 538,312 269,156 134,578 67,289 201,868 100,934 50,467 151,402 75,701 227,104 113,552 56,776 28,388 14,194 7,097 21,292 10,646 5,323 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 2,528 1,264 632

More profiles

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